Both experimental data and density functional theory (DFT) calculations clearly indicate that the reactivity of metal clusters for NO is determined by the energy and orbital type (4d or 5s) of the valence band top. Here, we explore this correlation for the reactivity of M13 nanoclusters, being M = Ag, Au, Co, Cu, Fe, Ir, Ni, Os, Pd, Pt, Rh and Ru and adsorbed diatomic molecules, O2 or N2. The possible adsorption configurations, interatomic distances, and adsorption energies for O2 and N2 on M13 clusters have been analyzed in detail.