The invention relates to a composition for producing abrasion-resistant and alkali-resistant layers or molded bodies having a low-energy surface, said composition comprising a) a hardenable binder system containing at least one organic polymer or oligomer comprising at least one functional group, or a precursor thereof, b) at least one fluorine-containing polymer or oligomer containing at least one functional group that can react with a functional group of the binder system, and c) inorganic particles, and to the products thus obtained. The coatings and molded bodies obtained are especially suitable for surfaces to be kept clean.