Here are a couple of examples how to do it (examples are using v$sqlarea view last_active_time column which data type is DATE) :
1. Comparison as date with using TO_DATE function:
SQL> select count(*) from v$sqlarea sqlst where sqlst.last_active_time > to_date('07/10/2013 13:44:10', 'mm/dd/yyyy hh24:mi:ss' );
COUNT(*)
----------
7
2. Comparison as string with using TO_CHAR function (Note different comparison >= ):
SQL> select count(*) from v$sqlarea sqlst where TO_CHAR(sqlst.last_active_time, 'YYYYMMDD-HH24MISS') >= '20130710-134410';
COUNT(*)
----------
8
SQL> select count(*) from v$sqlarea sqlst where TO_CHAR(sqlst.last_active_time, 'YYYYMMDD-HH24MISS') >= '20130710-134410';
COUNT(*)
----------
8
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