The invention relates to an intrinsically stable, porous filter element (2) with a porous coating (10) for surface filtration on a penetration surface, said coating (10) comprising: (a) a first component consisting of particles (12) and/or fibres (22); (b) an inorganic binding component (14; 24) binding the particles (12) and/or the fibres (22) of the first component together; (c) an adhesive (16; 26) by which means the porous coating (10) is bound to the remainder of the filter element; (d) and a second component (18: 28) which, as an anti-adhesive component, weakens the adhesion of filtered materials to the porous coating and facilitates the cleaning of the filter element.