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why is the ionization enthalpy of group 13 less than that of group 2? 

Group 2 elements have ns2 configuration which is a stable configuration. So the energy needed to remove the electron is more. Whereas group 13 has ns2np​1 electrons which are easily removed. Thus the ionisation energy of group 13 is less than that of group 2. 

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group 2 contain metals which would rather lose electrons and attain octet but group 13 elements being non-metals adds up electrons in its valence shell for attaining octet;as ionization enthalpy refers to the amount of energy required to add an electron to the valence shell IE of group 13<IE of group 2
 
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