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Results by Quarter (Unaudited) - Summary of Results by Quarter (Detail) (USD $)
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Quarterly Financial Information Disclosure [Abstract]                      
RENTAL REVENUES $ 209,275us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 207,297us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 199,422us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 189,699us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 195,376us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 195,130us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 194,907us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 181,021us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 805,693us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 766,434us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 737,724us-gaap_OperatingLeasesIncomeStatementLeaseRevenue
Net income $ 178,296us-gaap_NetIncomeLoss $ 178,597us-gaap_NetIncomeLoss $ 177,911us-gaap_NetIncomeLoss $ 142,722us-gaap_NetIncomeLoss $ 174,494us-gaap_NetIncomeLoss $ 176,260us-gaap_NetIncomeLoss $ 173,203us-gaap_NetIncomeLoss $ 134,918us-gaap_NetIncomeLoss $ 677,526us-gaap_NetIncomeLoss $ 658,875us-gaap_NetIncomeLoss $ 634,162us-gaap_NetIncomeLoss
Net income per limited partnership unit $ 20.17dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 20.20dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 20.13dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 16.15dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 19.75dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 19.94dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 19.59dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 15.26dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 76.65dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 74.54dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 71.74dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax