Let me stick some spaces in some helpful places:
2013 11 05 . 19 00
That better?
20131105 means 5th November 2013, and 1900 is in 24-hour clock format, IE 7:00PM
Stardates in the Star Trek universe work in an entirely different way. Wikipedia has a good explanation on how Stardates work.
Events on this stardate
The second movie in the new timeline finds Kirk demoted after he violates the Prime Directive. When his superior, Admiral Pike, is killed by a terrorist he goes on a mission to capture this new foe to the Federation but finds himself caught in the middle of a far bigger conflict.
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