Mine also and rapidly hang or auto restart in stock especially using chrome and with HD widget on.
Now running CM10.1 without chrome and no HD widget, everything seems much better, the hang seems not happen anymore and restart was rarely happen. For the moment, I think this was the temporary solution.
Phone: Samsung Galaxy Note 3 | ROM: v4.3
Future Phone: Moto G (backup phone)
Ex. Phone: Nokia 3310, Samsung S500, Nokia 7610, Nokia 7270, Nokia 7280, SE K750, Nokia N73, LG Viewty KU990, Samsung Pixon, Samsung UltraTOUCH, Samsung OMNIA II, Nokia 3120 Classic, Google Nexus One, Samsung Galaxy S II, Samsung Galaxy S III, Sony Xperia Z, Sony Xperia Z Ultra
Tablet: Sony Xperia Tablet Z | ROM: v4.2.2
Future Tablet: Samsung Galaxy Note 10.1 - 2014 edition
Ex. Tablet: Google Nexus 10