What atom has a nucleus that contains 13 protons and 14 neutrons

The neutrons aren't really the most important part, it's the protons that matter in this case it would be Aluminum

Spontaneity tell us the direction of the reaction, but not how fast it goes. gibbs free energy brings together enthalpy, entropy and temperature in one easy formula. g = h - ts. and, finally the sign of delta g is always negative for a spontaneous reaction.