This is a Java 8 solution. It relies on the java.time library.
String isoStamp = "2013-10-27T13:00:00.325234Z";
OffsetDateTime odt = OffsetDateTime.parse(
                             isoStamp,
                             DateTimeFormatter.ISO_OFFSET_DATE_TIME );
The OffsetDateTime is a date-time object that has a precision of nanoseconds, and includes the offset from UTC. And the ISO_OFFSET_DATE_TIME is a standard DateTimeFormatter format, that understands the Z designation and sets it as offset 0 from UTC.
The next step is to use this in JDBC, and Oracle says in this article that the java.time objects should be used with the setObject() method (rather than setTimeStamp()). E.g.
stmt.setObject( 1, odt, JDBCType.TIMESTAMP_WITH_TIMEZONE );
Note that this may depend on the database and JDBC driver, which should, of course, be up-to-date.