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Fair Value Measurements (Details 4) (USD $)
Mar. 31, 2015
Dec. 31, 2014
Deposits    
Carrying amount of time deposits $ 2,470,678,000us-gaap_TimeDeposits $ 2,482,692,000us-gaap_TimeDeposits
Significant Unobservable Inputs (Level 3)    
Loans    
Carrying amount of fixed rate performing loans 1,388,031,000us-gaap_LoansReceivableWithFixedRatesOfInterest1
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
1,352,147,000us-gaap_LoansReceivableWithFixedRatesOfInterest1
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Estimated fair value of fixed rate performing loans 1,323,168,000iboc_LoansReceivableWithFixedRateOfInterestFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
1,285,648,000iboc_LoansReceivableWithFixedRateOfInterestFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Deposits    
Carrying amount of time deposits 2,470,678,000us-gaap_TimeDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
2,482,692,000us-gaap_TimeDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Estimated fair value of time deposits 2,468,670,000iboc_TimeDepositsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
2,480,390,000iboc_TimeDepositsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Securities Sold Under Repurchase Agreements    
Carrying amount of long-term repurchase agreements 610,000,000iboc_SecuritiesSoldUnderLongTermAgreementsToRepurchase
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
610,000,000iboc_SecuritiesSoldUnderLongTermAgreementsToRepurchase
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Estimated fair value of long-term repurchase agreements 558,563,400us-gaap_SecuritiesLoanedOrSoldUnderAgreementsToRepurchaseFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
558,097,100us-gaap_SecuritiesLoanedOrSoldUnderAgreementsToRepurchaseFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Significant Other Observable Inputs (Level 2)    
Other borrowed funds    
Carrying amount of the long-term FHLB borrowings 6,207,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
6,244,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Estimated fair value of long-term FHLB borrowings $ 6,756,000iboc_FederalHomeLoanBankAdvancesLongTermFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
$ 6,645,000iboc_FederalHomeLoanBankAdvancesLongTermFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member