MySql TIMESTAMP data type store the date in format 'YYYY-MM-DD HH:MM:SS' with range from '1970-01-01 00:00:01' UTC to '2038-01-19 03:14:07' UTC.
Unix TIMESTAMP is the number of seconds since 1970-01-01, if you want to store the unix Timestamp in mysql db you should use int(11) with attribute UNSIGNED (to permit only positive numbers), and if you want to save the number of microseconds you should use bigint(20).