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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
$ in Thousands
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Financial Assets:      
Cash and due from banks $ 491,065 $ 388,311  
Money market investments 11,640,880 3,262,286  
Debt Securities Available for Sale, at Fair Value 21,561,152 17,648,473  
Debt securities held-to-maturity, net 82,360 97,662  
Equity securities:      
Equity securities 173,737 159,887  
Loans held in portfolio, net 28,488,946 26,929,165  
Mortgage servicing rights 118,395 150,906 $ 169,777
Deposits      
Time deposits 7,307,848 7,674,797  
Total deposits 56,866,340 43,758,606  
Assets sold under agreements to repurchase 121,303 193,378  
Notes payable:      
Notes Payable 1,224,981 1,101,608  
Derivatives 18,925 16,619  
Obligations of Puerto Rico, States and political subdivisions      
Financial Assets:      
Debt Securities Available for Sale, at Fair Value   6,975  
Debt securities held-to-maturity, net 70,768    
Collateralized Mortgage Obligations - Federal agencies      
Financial Assets:      
Debt Securities Available for Sale, at Fair Value 392,132 586,175  
Debt securities held-to-maturity, net 31    
Securities in wholly owned statutory business trusts      
Financial Assets:      
Debt securities held-to-maturity, net 11,561    
Other      
Financial Assets:      
Debt Securities Available for Sale, at Fair Value 235 350  
Carrying amount      
Financial Assets:      
Cash and due from banks 491,065 388,311  
Money market investments 11,640,880 3,262,286  
Trading account debt securities, excluding derivatives 36,674 40,321  
Debt Securities Available for Sale, at Fair Value 21,561,152 17,648,473  
Debt securities held-to-maturity, net 82,360 97,662  
Equity securities:      
FHLB Stock 49,799 43,787  
FRB stock 93,045 93,470  
Other investments 30,893 22,630  
Equity securities 173,737 159,887  
Loans held-for-sale 99,455 59,203  
Loans held in portfolio, net 28,488,946 26,929,165  
Mortgage servicing rights 118,395 150,906  
Derivatives 20,785 17,966  
Deposits      
Demand deposits 49,558,492 36,083,809  
Time deposits 7,307,848 7,674,797  
Total deposits 56,866,340 43,758,606  
Assets sold under agreements to repurchase 121,303 193,378  
Notes payable:      
Advances with the FHLB 542,469 421,399  
Unsecured senior debt securities 296,574 295,307  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,929 384,902  
FRB advances 1,009    
Notes Payable 1,224,981 1,101,608  
Derivatives 18,925 16,619  
Carrying amount | Obligations of Puerto Rico, States and political subdivisions      
Financial Assets:      
Debt securities held-to-maturity, net 70,768 85,556  
Carrying amount | Collateralized Mortgage Obligations - Federal agencies      
Financial Assets:      
Debt securities held-to-maturity, net 31 45  
Carrying amount | Securities in wholly owned statutory business trusts      
Financial Assets:      
Debt securities held-to-maturity, net 11,561 11,561  
Carrying amount | Other      
Financial Assets:      
Debt securities held-to-maturity, net   500  
Fair Value      
Financial Assets:      
Cash and due from banks 491,065 388,311  
Money market investments 11,640,880 3,262,286  
Trading account debt securities, excluding derivatives 36,674 40,321  
Debt Securities Available for Sale, at Fair Value 21,561,152 17,648,473  
Debt securities held-to-maturity, net 94,891 105,110  
Equity securities:      
FHLB Stock 49,799 43,787  
FRB stock 93,045 93,470  
Other investments 31,085 28,695  
Equity securities 173,929 165,952  
Loans held-for-sale 102,189 60,030  
Loans held in portfolio, net 27,098,297 25,051,400  
Mortgage servicing rights 118,395 150,906  
Derivatives 20,785 17,966  
Deposits      
Demand deposits 49,558,492 36,083,809  
Time deposits 7,319,963 7,598,732  
Total deposits 56,878,455 43,682,541  
Assets sold under agreements to repurchase 121,257 193,271  
Notes payable:      
Advances with the FHLB 561,977 429,718  
Unsecured senior debt securities 321,078 323,415  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 395,078 395,216  
FRB advances 1,009    
Notes Payable 1,279,142 1,148,349  
Derivatives 18,925 16,619  
Fair Value | Obligations of Puerto Rico, States and political subdivisions      
Financial Assets:      
Debt securities held-to-maturity, net 83,298 93,002  
Fair Value | Collateralized Mortgage Obligations - Federal agencies      
Financial Assets:      
Debt securities held-to-maturity, net 32 47  
Fair Value | Securities in wholly owned statutory business trusts      
Financial Assets:      
Debt securities held-to-maturity, net 11,561 11,561  
Fair Value | Other      
Financial Assets:      
Debt securities held-to-maturity, net   500  
Fair Value | Level 1      
Financial Assets:      
Cash and due from banks 491,065 388,311  
Money market investments 11,634,851 3,256,274  
Trading account debt securities, excluding derivatives 11,506 7,081  
Debt Securities Available for Sale, at Fair Value 3,499,781 3,841,715  
Debt securities held-to-maturity, net 0 0  
Equity securities:      
FHLB Stock 0 0  
FRB stock 0 0  
Other investments 0 0  
Equity securities 0 0  
Loans held-for-sale 0 0  
Loans held in portfolio, net 0 0  
Mortgage servicing rights 0 0  
Derivatives 0 0  
Deposits      
Demand deposits 0 0  
Time deposits 0 0  
Total deposits 0 0  
Assets sold under agreements to repurchase 0 0  
Notes payable:      
Advances with the FHLB 0 0  
Unsecured senior debt securities 0 0  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0  
FRB advances 0    
Notes Payable 0 0  
Derivatives 0 0  
Fair Value | Level 1 | Obligations of Puerto Rico, States and political subdivisions      
Financial Assets:      
Debt securities held-to-maturity, net 0 0  
Fair Value | Level 1 | Collateralized Mortgage Obligations - Federal agencies      
Financial Assets:      
Debt securities held-to-maturity, net 0 0  
Fair Value | Level 1 | Securities in wholly owned statutory business trusts      
Financial Assets:      
Debt securities held-to-maturity, net 0 0  
Fair Value | Level 1 | Other      
Financial Assets:      
Debt securities held-to-maturity, net   0  
Fair Value | Level 2      
Financial Assets:      
Cash and due from banks 0 0  
Money market investments 6,029 6,012  
Trading account debt securities, excluding derivatives 24,509 32,270  
Debt Securities Available for Sale, at Fair Value 18,060,357 13,805,576  
Debt securities held-to-maturity, net 11,561 12,061  
Equity securities:      
FHLB Stock 49,799 43,787  
FRB stock 93,045 93,470  
Other investments 29,590 21,328  
Equity securities 172,434 158,585  
Loans held-for-sale 0 0  
Loans held in portfolio, net 0 0  
Mortgage servicing rights 0 0  
Derivatives 20,785 17,966  
Deposits      
Demand deposits 49,558,492 36,083,809  
Time deposits 7,319,963 7,598,732  
Total deposits 56,878,455 43,682,541  
Assets sold under agreements to repurchase 121,257 193,271  
Notes payable:      
Advances with the FHLB 561,977 429,718  
Unsecured senior debt securities 321,078 323,415  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 395,078 395,216  
FRB advances 1,009    
Notes Payable 1,279,142 1,148,349  
Derivatives 18,925 16,619  
Fair Value | Level 2 | Obligations of Puerto Rico, States and political subdivisions      
Financial Assets:      
Debt securities held-to-maturity, net 0 0  
Fair Value | Level 2 | Collateralized Mortgage Obligations - Federal agencies      
Financial Assets:      
Debt securities held-to-maturity, net 0 0  
Fair Value | Level 2 | Securities in wholly owned statutory business trusts      
Financial Assets:      
Debt securities held-to-maturity, net 11,561 11,561  
Fair Value | Level 2 | Other      
Financial Assets:      
Debt securities held-to-maturity, net   500  
Fair Value | Level 3      
Financial Assets:      
Cash and due from banks 0 0  
Money market investments 0 0  
Trading account debt securities, excluding derivatives 659 970  
Debt Securities Available for Sale, at Fair Value 1,014 1,182  
Debt securities held-to-maturity, net 83,330 93,049  
Equity securities:      
FHLB Stock 0 0  
FRB stock 0 0  
Other investments 1,495 7,367  
Equity securities 1,495 7,367  
Loans held-for-sale 102,189 60,030  
Loans held in portfolio, net 27,098,297 25,051,400  
Mortgage servicing rights 118,395 150,906  
Derivatives 0 0  
Deposits      
Demand deposits 0 0  
Time deposits 0 0  
Total deposits 0 0  
Assets sold under agreements to repurchase 0 0  
Notes payable:      
Advances with the FHLB 0 0  
Unsecured senior debt securities 0 0  
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0  
FRB advances 0    
Notes Payable 0 0  
Derivatives 0 0  
Fair Value | Level 3 | Obligations of Puerto Rico, States and political subdivisions      
Financial Assets:      
Debt securities held-to-maturity, net 83,298 93,002  
Fair Value | Level 3 | Collateralized Mortgage Obligations - Federal agencies      
Financial Assets:      
Debt securities held-to-maturity, net 32 47  
Fair Value | Level 3 | Securities in wholly owned statutory business trusts      
Financial Assets:      
Debt securities held-to-maturity, net $ 0 0  
Fair Value | Level 3 | Other      
Financial Assets:      
Debt securities held-to-maturity, net   $ 0