You can use unix_timestamp for dates after 1970 :
SELECT (unix_timestamp('2013-01-01 10:10:10') - unix_timestamp('1970-01-01 00:00:00'))/60
- Convert both dates in seconds from
1970-01-01 - Substract them
- Divide by 60 to get minutes.
SqlFiddleDemoUsingMySQL
EDIT:
Adding minutes: change date to unixtime -> add var * 60sec -> convert back to date
SELECT from_unixtime(unix_timestamp('2013-01-01 10:10:10') + 10 * 60) AS result
SqlFiddleDemoUsingMySQL2
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