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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($)
$ in Thousands
Sep. 30, 2023
Dec. 31, 2022
Sep. 30, 2022
Dec. 31, 2021
Assets        
Debt securities available-for-sale $ 17,129,858 $ 17,804,374    
Mortgage servicing rights 119,030 128,350 $ 130,541 $ 121,570
US Treasury Securities        
Assets        
Debt securities available-for-sale 11,329,681 11,180,948    
Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale 138,014 165,196    
Mortgage Backed Securities        
Assets        
Debt securities available-for-sale 5,661,141 6,457,170    
Other        
Assets        
Debt securities available-for-sale 1,022 1,060    
Recurring        
Assets        
Debt securities available-for-sale 17,129,858 17,804,374    
Trading account debt securities, excluding derivatives 30,825 27,723    
Equity securities at fair value 35,312 29,632    
Mortgage servicing rights 119,030 128,350    
Loans held-for-sale 5,239      
Derivatives 23,511 19,229    
Total assets measured at fair value on recurring /nonrecurring basis 17,343,775 18,009,308    
Liabilities        
Derivatives (21,747) (17,000)    
Total (21,747) (17,000)    
Recurring | US Treasury Securities        
Assets        
Debt securities available-for-sale 11,329,681 11,180,948    
Trading account debt securities, excluding derivatives 15,644 13,069    
Recurring | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Trading account debt securities, excluding derivatives 57 64    
Recurring | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale 138,014 165,196    
Recurring | CMO        
Assets        
Trading account debt securities, excluding derivatives 52 160    
Recurring | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale 5,661,141 6,457,170    
Trading account debt securities, excluding derivatives 14,884 14,223    
Recurring | Other        
Assets        
Debt securities available-for-sale 1,022 1,060    
Trading account debt securities, excluding derivatives 188 207    
Recurring | Level 1        
Assets        
Debt securities available-for-sale 3,871,643 1,908,589    
Trading account debt securities, excluding derivatives 15,644 13,069    
Equity securities at fair value 0 0    
Mortgage servicing rights 0 0    
Loans held-for-sale 0      
Derivatives 0 0    
Total assets measured at fair value on recurring /nonrecurring basis 3,887,287 1,921,658    
Liabilities        
Derivatives 0 0    
Total 0 0    
Recurring | Level 1 | US Treasury Securities        
Assets        
Debt securities available-for-sale 3,871,643 1,908,589    
Trading account debt securities, excluding derivatives 15,644 13,069    
Recurring | Level 1 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale 0 0    
Recurring | Level 1 | CMO        
Assets        
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | Other        
Assets        
Debt securities available-for-sale 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 2        
Assets        
Debt securities available-for-sale 13,256,562 15,894,074    
Trading account debt securities, excluding derivatives 14,846 14,119    
Equity securities at fair value 35,026 29,302    
Mortgage servicing rights 0 0    
Loans held-for-sale 5,239      
Derivatives 23,511 19,229    
Total assets measured at fair value on recurring /nonrecurring basis 13,335,184 15,956,724    
Liabilities        
Derivatives (21,747) (17,000)    
Total (21,747) (17,000)    
Recurring | Level 2 | US Treasury Securities        
Assets        
Debt securities available-for-sale 7,458,038 9,272,359    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 2 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Trading account debt securities, excluding derivatives 57 64    
Recurring | Level 2 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale 138,014 165,196    
Recurring | Level 2 | CMO        
Assets        
Trading account debt securities, excluding derivatives 42 47    
Recurring | Level 2 | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale 5,660,488 6,456,459    
Trading account debt securities, excluding derivatives 14,747 14,008    
Recurring | Level 2 | Other        
Assets        
Debt securities available-for-sale 22 60    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3        
Assets        
Debt securities available-for-sale 1,653 1,711    
Trading account debt securities, excluding derivatives 335 535    
Equity securities at fair value 0 0    
Mortgage servicing rights 119,030 128,350    
Loans held-for-sale 0      
Derivatives 0 0    
Total assets measured at fair value on recurring /nonrecurring basis 121,018 130,596    
Liabilities        
Derivatives 0 0    
Total 0 0    
Recurring | Level 3 | US Treasury Securities        
Assets        
Debt securities available-for-sale 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale 0 0    
Recurring | Level 3 | CMO        
Assets        
Trading account debt securities, excluding derivatives 10 113 135  
Recurring | Level 3 | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale 653 711    
Trading account debt securities, excluding derivatives 137 215    
Recurring | Level 3 | Other        
Assets        
Debt securities available-for-sale 1,000 1,000    
Trading account debt securities, excluding derivatives 188 207 $ 255  
Recurring | NAV        
Assets        
Debt securities available-for-sale 0 0    
Trading account debt securities, excluding derivatives 0 0    
Equity securities at fair value 286 330    
Mortgage servicing rights 0 0    
Loans held-for-sale 0      
Derivatives 0 0    
Total assets measured at fair value on recurring /nonrecurring basis 286 330    
Liabilities        
Derivatives 0 0    
Total 0 0    
Recurring | NAV | US Treasury Securities        
Assets        
Debt securities available-for-sale 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | NAV | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Trading account debt securities, excluding derivatives 0 0    
Recurring | NAV | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale 0 0    
Recurring | NAV | CMO        
Assets        
Trading account debt securities, excluding derivatives 0 0    
Recurring | NAV | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | NAV | Other        
Assets        
Debt securities available-for-sale 0 0    
Trading account debt securities, excluding derivatives $ 0 $ 0