lightning bolt symbol flashing on 2007 dodge caliber

Will turn over but not start. Put a brand new battery. Another code it is giving is P0113.

Unless it's a "hard fault", meaning a code that is present even if you clear codes, it isn't anything you can really rely on. A no start issue is due to engine performance - fuel delivery, ignition spark, proper air intake. Even an anti-theft system concern could cause a no start situation. Engine timing and compression are important also. Hands on testing by someone with experience is needed.