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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
$ in Thousands
Sep. 30, 2021
Dec. 31, 2020
Sep. 30, 2020
Dec. 31, 2019
Financial Assets:        
Cash and due from banks $ 538,973 $ 491,065    
Money market investments 17,526,238 11,640,880    
Debt Securities Available for sale, at fair value 24,391,226 21,561,152    
Debt securities held-to-maturity, net 76,433 82,360    
Equity securities:        
Equity securities 184,931 173,737    
Loans held in portfolio, net 28,136,797 28,488,946    
Mortgage servicing rights 116,567 118,395 $ 123,552 $ 150,906
Deposits        
Time deposits 6,932,120 7,307,848    
Deposits 66,013,561 56,866,340    
Assets sold under agreements to repurchase 86,470 121,303    
Notes payable:        
Notes payable 1,176,943 1,224,981    
Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 64,842 70,768    
Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt Securities Available for sale, at fair value 250,491 392,132    
Debt securities held-to-maturity, net 30 31    
Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Other        
Financial Assets:        
Debt Securities Available for sale, at fair value 156 235    
Carrying amount        
Financial Assets:        
Cash and due from banks 538,973 491,065    
Money market investments 17,526,238 11,640,880    
Trading account debt securities, excluding derivatives 36,064 36,674    
Debt Securities Available for sale, at fair value 24,391,226 21,561,152    
Debt securities held-to-maturity, net 76,433 82,360    
Equity securities:        
FHLB Stock 56,685 49,799    
FRB stock 95,119 93,045    
Other investments 33,127 30,893    
Equity securities 184,931 173,737    
Loans held-for-sale 91,313 99,455    
Loans held in portfolio, net 28,136,797 28,488,946    
Mortgage servicing rights 116,567 118,395    
Derivatives 23,827 20,785    
Deposits        
Demand deposits 59,081,441 49,558,492    
Time deposits 6,932,120 7,307,848    
Deposits 66,013,561 56,866,340    
Assets sold under agreements to repurchase 86,470 121,303    
Notes payable:        
Advances with the FHLB 494,469 542,469    
Unsecured senior debt securities 297,525 296,574    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,949 384,929    
FRB advances   1,009    
Notes payable 1,176,943 1,224,981    
Derivatives 20,879 18,925    
Carrying amount | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 64,842 70,768    
Carrying amount | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 30 31    
Carrying amount | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value        
Financial Assets:        
Cash and due from banks 538,973 491,065    
Money market investments 17,526,238 11,640,880    
Trading account debt securities, excluding derivatives 36,064 36,674    
Debt Securities Available for sale, at fair value 24,391,226 21,561,152    
Debt securities held-to-maturity, net 89,775 94,891    
Equity securities:        
FHLB Stock 56,685 49,799    
FRB stock 95,119 93,045    
Other investments 34,525 31,085    
Equity securities 186,329 173,929    
Loans held-for-sale 92,903 102,189    
Loans held in portfolio, net 27,091,726 27,098,297    
Mortgage servicing rights 116,567 118,395    
Derivatives 23,827 20,785    
Deposits        
Demand deposits 59,081,441 49,558,492    
Time deposits 6,881,141 7,319,963    
Deposits 65,962,582 56,878,455    
Assets sold under agreements to repurchase 86,455 121,257    
Notes payable:        
Advances with the FHLB 502,792 561,977    
Unsecured senior debt securities 322,938 321,078    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 411,186 395,078    
FRB advances   1,009    
Notes payable 1,236,916 1,279,142    
Derivatives 20,879 18,925    
Fair Value | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 78,183 83,298    
Fair Value | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 31 32    
Fair Value | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value | Level 1        
Financial Assets:        
Cash and due from banks 538,973 491,065    
Money market investments 17,519,832 11,634,851    
Trading account debt securities, excluding derivatives 10,780 11,506    
Debt Securities Available for sale, at fair value 799,972 3,499,781    
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    
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 2        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 6,406 6,029    
Trading account debt securities, excluding derivatives 24,712 24,509    
Debt Securities Available for sale, at fair value 23,590,371 18,060,357    
Debt securities held-to-maturity, net 11,561 11,561    
Equity securities:        
FHLB Stock 56,685 49,799    
FRB stock 95,119 93,045    
Other investments 30,212 29,590    
Equity securities 182,016 172,434    
Loans held-for-sale 0 0    
Loans held in portfolio, net 0 0    
Mortgage servicing rights 0 0    
Derivatives 23,827 20,785    
Deposits        
Demand deposits 59,081,441 49,558,492    
Time deposits 6,881,141 7,319,963    
Deposits 65,962,582 56,878,455    
Assets sold under agreements to repurchase 86,455 121,257    
Notes payable:        
Advances with the FHLB 502,792 561,977    
Unsecured senior debt securities 322,938 321,078    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 411,186 395,078    
FRB advances   1,009    
Notes payable 1,236,916 1,279,142    
Derivatives 20,879 18,925    
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 3        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 0 0    
Trading account debt securities, excluding derivatives 572 659    
Debt Securities Available for sale, at fair value 883 1,014    
Debt securities held-to-maturity, net 78,214 83,330    
Equity securities:        
FHLB Stock 0 0    
FRB stock 0 0    
Other investments 4,313 1,495    
Equity securities 4,313 1,495    
Loans held-for-sale 92,903 102,189    
Loans held in portfolio, net 27,091,726 27,098,297    
Mortgage servicing rights 116,567 118,395    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
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 78,183 83,298    
Fair Value | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 31 32    
Fair Value | Level 3 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net $ 0 $ 0