That's Calvino's first novel, and it has a completely different style - and is much more boring as far as I remember- from everything he wrote afterwards. I think it was often chosen in Italian high schools for political reasons - it's a story about the Italian resistenza, the fight of partisans against fascists from which the modern Italian republic was born.
His subsequent novels and collections of short stories depart completely from that neo-realistic style. The way to describe them is possibly "a literary Bach" - his stories seem to develop fantastic themes in an endlessly imaginative way, exploring all the possibilities afforded by the theme, (loose) internal consistency and language. My favourites are "Cosmicomics" and "The invisible cities" .