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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Mar. 31, 2023	Dec. 31, 2022	Mar. 31, 2022	Dec. 31, 2021
Assets
Debt securities available-for-sale	$ 17,173,128	$ 17,804,374
Mortgage servicing rights	127,475	128,350	$ 125,358	$ 121,570
US Treasury Securities
Assets
Debt securities available-for-sale	10,634,747	11,180,948
Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	158,772	165,196
Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,378,560	6,457,170
Other
Assets
Debt securities available-for-sale	1,049	1,060
Recurring
Assets
Debt securities available-for-sale	17,173,128	17,804,374
Trading account debt securities, excluding derivatives	29,823	27,723
Equity securities at fair value	32,863	29,632
Mortgage servicing rights	127,475	128,350
Loans held-for-sale	11,181
Derivatives	19,365	19,229
Total assets measured at fair value on recurring /nonrecurring basis	17,393,835	18,009,308
Liabilities
Derivatives	(17,115)	(17,000)
Total	(17,115)	(17,000)
Recurring \| US Treasury Securities
Assets
Debt securities available-for-sale	10,634,747	11,180,948
Trading account debt securities, excluding derivatives	15,462	13,069
Recurring \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	62	64
Recurring \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	158,772	165,196
Recurring \| CMO
Assets
Trading account debt securities, excluding derivatives	133	160
Recurring \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,378,560	6,457,170
Trading account debt securities, excluding derivatives	13,967	14,223
Recurring \| Other
Assets
Debt securities available-for-sale	1,049	1,060
Trading account debt securities, excluding derivatives	199	207
Recurring \| Level 1
Assets
Debt securities available-for-sale	1,865,470	1,908,589
Trading account debt securities, excluding derivatives	15,462	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	1,880,932	1,921,658
Liabilities
Derivatives	0	0
Total	0	0
Recurring \| Level 1 \| US Treasury Securities
Assets
Debt securities available-for-sale	1,865,470	1,908,589
Trading account debt securities, excluding derivatives	15,462	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	15,306,003	15,894,074
Trading account debt securities, excluding derivatives	13,886	14,119
Equity securities at fair value	32,545	29,302
Mortgage servicing rights	0	0
Loans held-for-sale	11,181
Derivatives	19,365	19,229
Total assets measured at fair value on recurring /nonrecurring basis	15,382,980	15,956,724
Liabilities
Derivatives	(17,115)	(17,000)
Total	(17,115)	(17,000)
Recurring \| Level 2 \| US Treasury Securities
Assets
Debt securities available-for-sale	8,769,277	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	62	64
Recurring \| Level 2 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	158,772	165,196
Recurring \| Level 2 \| CMO
Assets
Trading account debt securities, excluding derivatives	45	47
Recurring \| Level 2 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,377,905	6,456,459
Trading account debt securities, excluding derivatives	13,779	14,008
Recurring \| Level 2 \| Other
Assets
Debt securities available-for-sale	49	60
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3
Assets
Debt securities available-for-sale	1,655	1,711
Trading account debt securities, excluding derivatives	475	535
Equity securities at fair value	0	0
Mortgage servicing rights	127,475	128,350
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	129,605	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	88	113	174
Recurring \| Level 3 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	655	711
Trading account debt securities, excluding derivatives	188	215
Recurring \| Level 3 \| Other
Assets
Debt securities available-for-sale	1,000	1,000
Trading account debt securities, excluding derivatives	199	207	$ 267
Recurring \| NAV
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Equity securities at fair value	318	330
Mortgage servicing rights	0	0
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	318	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