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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($)
$ in Thousands
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Assets      
Debt Securities Available for Sale, at Fair Value $ 21,561,152 $ 17,648,473  
Mortgage servicing rights 118,395 150,906 $ 169,777
Liabilities      
Derivatives (18,925) (16,619)  
US Treasury Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 10,788,040 12,056,255  
Obligations of U.S. Government sponsored entities      
Assets      
Debt Securities Available for Sale, at Fair Value 60,184 122,404  
Obligations of Puerto Rico, States and political subdivisions      
Assets      
Debt Securities Available for Sale, at Fair Value   6,975  
Collateralized Mortgage Obligations - Federal agencies      
Assets      
Debt Securities Available for Sale, at Fair Value 392,132 586,175  
Mortgage Backed Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 10,320,561 4,876,314  
Other      
Assets      
Debt Securities Available for Sale, at Fair Value 235 350  
Recurring      
Assets      
Debt Securities Available for Sale, at Fair Value 21,561,152 17,648,473  
Trading account debt securities, excluding derivatives 36,674 40,321  
Equity securities at fair value 29,590 21,327  
Mortgage servicing rights 118,395 150,906  
Derivatives 20,785 17,966  
Total assets measured at fair value on a nonrecurring basis 21,766,596 17,878,993  
Liabilities      
Derivatives (18,925) (16,619)  
Total (18,925) (16,619)  
Recurring | US Treasury Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 10,788,040 12,056,255  
Trading account debt securities, excluding derivatives 11,506 7,083  
Recurring | Obligations of U.S. Government sponsored entities      
Assets      
Debt Securities Available for Sale, at Fair Value 60,184 122,404  
Recurring | Obligations of Puerto Rico, States and political subdivisions      
Assets      
Debt Securities Available for Sale, at Fair Value   6,975  
Trading account debt securities, excluding derivatives 103 633  
Recurring | Collateralized Mortgage Obligations - Federal agencies      
Assets      
Debt Securities Available for Sale, at Fair Value 392,132 586,175  
Recurring | Mortgage Backed Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 10,320,561 4,876,314  
Trading account debt securities, excluding derivatives 24,338 28,556  
Recurring | Other      
Assets      
Debt Securities Available for Sale, at Fair Value 235 350  
Trading account debt securities, excluding derivatives 381 3,443  
Recurring | CMO      
Assets      
Trading account debt securities, excluding derivatives 346 606  
Recurring | Level 1      
Assets      
Debt Securities Available for Sale, at Fair Value 3,499,781 3,841,715  
Trading account debt securities, excluding derivatives 11,506 7,081  
Equity securities at fair value 0 0  
Mortgage servicing rights 0 0  
Derivatives 0 0  
Total assets measured at fair value on a nonrecurring basis 3,511,287 3,848,796  
Liabilities      
Derivatives 0 0  
Total 0 0  
Recurring | Level 1 | US Treasury Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 3,499,781 3,841,715  
Trading account debt securities, excluding derivatives 11,506 7,081  
Recurring | Level 1 | Obligations of U.S. Government sponsored entities      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Recurring | Level 1 | Obligations of Puerto Rico, States and political subdivisions      
Assets      
Debt Securities Available for Sale, at Fair Value   0  
Trading account debt securities, excluding derivatives 0 0  
Recurring | Level 1 | Collateralized Mortgage Obligations - Federal agencies      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Recurring | Level 1 | Mortgage Backed Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Trading account debt securities, excluding derivatives 0 0  
Recurring | Level 1 | Other      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Trading account debt securities, excluding derivatives 0 0  
Recurring | Level 1 | CMO      
Assets      
Trading account debt securities, excluding derivatives 0 0  
Recurring | Level 2      
Assets      
Debt Securities Available for Sale, at Fair Value 18,060,357 13,805,576  
Trading account debt securities, excluding derivatives 24,509 32,270  
Equity securities at fair value 29,590 21,327  
Mortgage servicing rights 0 0  
Derivatives 20,785 17,966  
Total assets measured at fair value on a nonrecurring basis 18,135,241 13,877,139  
Liabilities      
Derivatives (18,925) (16,619)  
Total (18,925) (16,619)  
Recurring | Level 2 | US Treasury Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 7,288,259 8,214,540  
Trading account debt securities, excluding derivatives 0 2  
Recurring | Level 2 | Obligations of U.S. Government sponsored entities      
Assets      
Debt Securities Available for Sale, at Fair Value 60,184 122,404  
Recurring | Level 2 | Obligations of Puerto Rico, States and political subdivisions      
Assets      
Debt Securities Available for Sale, at Fair Value   6,975  
Trading account debt securities, excluding derivatives 103 633  
Recurring | Level 2 | Collateralized Mortgage Obligations - Federal agencies      
Assets      
Debt Securities Available for Sale, at Fair Value 392,132 586,175  
Recurring | Level 2 | Mortgage Backed Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 10,319,547 4,875,132  
Trading account debt securities, excluding derivatives 24,338 28,556  
Recurring | Level 2 | Other      
Assets      
Debt Securities Available for Sale, at Fair Value 235 350  
Trading account debt securities, excluding derivatives 0 3,003  
Recurring | Level 2 | CMO      
Assets      
Trading account debt securities, excluding derivatives 68 76  
Recurring | Level 3      
Assets      
Debt Securities Available for Sale, at Fair Value 1,014 1,182  
Trading account debt securities, excluding derivatives 659 970  
Equity securities at fair value 0 0  
Mortgage servicing rights 118,395 150,906  
Derivatives 0 0  
Total assets measured at fair value on a nonrecurring basis 120,068 153,058  
Liabilities      
Derivatives 0 0  
Total 0 0  
Recurring | Level 3 | US Treasury Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Trading account debt securities, excluding derivatives 0 0  
Recurring | Level 3 | Obligations of U.S. Government sponsored entities      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Recurring | Level 3 | Obligations of Puerto Rico, States and political subdivisions      
Assets      
Debt Securities Available for Sale, at Fair Value   0  
Trading account debt securities, excluding derivatives 0 0  
Recurring | Level 3 | Collateralized Mortgage Obligations - Federal agencies      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Recurring | Level 3 | Mortgage Backed Securities      
Assets      
Debt Securities Available for Sale, at Fair Value 1,014 1,182  
Trading account debt securities, excluding derivatives 0 0  
Recurring | Level 3 | Other      
Assets      
Debt Securities Available for Sale, at Fair Value 0 0  
Trading account debt securities, excluding derivatives 381 440  
Recurring | Level 3 | CMO      
Assets      
Trading account debt securities, excluding derivatives $ 278 $ 530