https://api-prod.corelogic.com/trestle/odata/Property?$filter=year(ModificationTimestamp) eq 2018 and month(ModificationTimestamp) gt 5 and day(ModificationTimestamp) lt 31 and hour(ModificationTimestamp) gt 1 and minute(ModificationTimestamp) gt 3 and (PropertyType eq 'Residential')&$top=5&$select=ListingKey,BedroomsTotal,PropertyType,StreetName,ModificationTimestamp,OriginatingSystemName,Appliances,ListingContractDate,AssociationFeeFrequency,ModificationTimestamp
Filtering on time can use of the hour, minute, second and fractional seconds functions.