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Fair Value (Details 4) (USD $)
Dec. 31, 2014
Dec. 31, 2013
Deposits    
Carrying amount of time deposits $ 2,482,692,000us-gaap_TimeDeposits $ 2,651,303,000us-gaap_TimeDeposits
Significant Other Observable Inputs (Level 2)    
Other borrowed funds    
Carrying amount of the long-term FHLB borrowings 6,244,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
8,950,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Estimated fair value of long-term FHLB borrowings 6,645,000iboc_FederalHomeLoanBankAdvancesLongTermFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
8,950,000iboc_FederalHomeLoanBankAdvancesLongTermFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
Significant Unobservable Inputs (Level 3)    
Loans    
Carrying amount of fixed rate performing loans 1,352,147,000us-gaap_LoansReceivableWithFixedRatesOfInterest1
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
1,243,252,000us-gaap_LoansReceivableWithFixedRatesOfInterest1
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Estimated fair value of fixed rate performing loans 1,285,648,000iboc_LoansReceivableWithFixedRateOfInterestFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
1,196,916,000iboc_LoansReceivableWithFixedRateOfInterestFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Deposits    
Carrying amount of time deposits 2,482,692,000us-gaap_TimeDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
2,651,303,000us-gaap_TimeDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Estimated fair value of time deposits 2,480,390,000iboc_TimeDepositsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
2,649,452,000iboc_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
710,000,000iboc_SecuritiesSoldUnderLongTermAgreementsToRepurchase
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Estimated fair value of long-term repurchase agreements $ 558,097,100us-gaap_SecuritiesLoanedOrSoldUnderAgreementsToRepurchaseFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
$ 792,215,500us-gaap_SecuritiesLoanedOrSoldUnderAgreementsToRepurchaseFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member