You need to distinguish the capacity of the battery (in mAh) from the instantaneous current capability. Most LiPo batteries have a "C" rating. For example that HobbyKing battery that @raschemmel links to is rated 25C continuous and 50C burst. That means it can deliver 25 times 1300mA (or 32.5 amps) continuously - though not for very long, of course.
I doubt very much if the battery can deliver 1300 mAh from successive charges. Most battery manufacturers are "generous" with their capacity specifications. Base your project design on being able to use 50% of the sticker capacity.
...R