Floor, ceiling and wall covering (01) material, consisting of natural stones, i.e. marble, granite, limestone, onyx, travertine and sandstone, cement based tiles, softwood and hardwood, wood fiber HDF, MDF, agglomerated cork, rubber, and composite tile materials, such as stone, quartz or vinyl composition tiles, in format of tile slabs. Which the thickness is between 4 mm and 35 mm in which at the two opposite edges or sides are jointed together and interlocked by mechanical locking means, by connecting or inserting, (A6 to A5) and connecting or pressing downward (A8 to A9) using polyvinyl chloride (PVC) couplings, connecting in the form of a tongue and a groove which will prevent shifting of two interlocked tiles and or slabs into the opposed direction of each section tile or slab, with an integrated backing layer consisting of cork syntactic foam material, The invention relates to a natural stone core tile slab, allowing for an installation without the use of cement, adhesives or grout, provided with such a mechanical locking system jointed to the core (A4) according to the invention.