Metal drilling tool for drilling holes in metal workpieces by chip removal, having - a middle axis, - a circumferential surface, - a front side and an opposing end, - with at least two primary cutting edges (3/1,3/2) arranged in the region of the front side, with each of which a first clearance surface (5/1,5/2) is associated, wherein - the clearance surfaces (5/1,5/2) drop off from the at least two primary cutting edges (3/1,3/2) at a first clearance angle in the direction of the opposing end, and - extend from the circumferential surface over the front side, wherein - the at least two primary cutting edges (3/1,3/2) lie on an imaginary first conical surface which is arranged concentrically with respect to the middle axis and has a first cone angle (α) which opens in the direction of the opposing end and is at most 180°, characterised by - a centering portion having at least three edges (21/1,21/2,21/3), at least three side surfaces (17/1,17/2,17/3) and an imaginary base surface, wherein the centering portion is provided instead of a transverse cutting edge on the drilling tool such that it replaces the transverse cutting edge, wherein - at least two of the edges (21/1,21/2,21/3,21/4) lie on an imaginary second conical surface which is arranged concentrically with respect to the middle axis and has a second cone angle (β) which opens in the direction of the opposing end, wherein - the second cone angle (β) is smaller than the first cone angle (α), - so that the imaginary second conical surface - viewed from the opposing end - protrudes from the front side, wherein - the at least two primary cutting edges (3/1,3/2) each have an outer first primary cutting edge portion (11/1,11/2) and an adjoining inner second primary cutting edge portion (15/1,15/2), and wherein - the at least two primary cutting edges (3/1,3/2) each continue into one of the edges (21/1,21/2,21/3,21/4) of the centering portion. - a middle axis, - a circumferential surface, - a front side and an opposing end, - with at least two primary cutting edges (3/1,3/2) arranged in the region of the front side, with each of which a first clearance surface (5/1,5/2) is associated, wherein - the clearance surfaces (5/1,5/2) drop off from the at least two primary cutting edges (3/1,3/2) at a first clearance angle in the direction of the opposing end, and - extend from the circumferential surface over the front side, wherein - the at least two primary cutting edges (3/1,3/2) lie on an imaginary first conical surface which is arranged concentrically with respect to the middle axis and has a first cone angle (α) which opens in the direction of the opposing end and is at most 180°, - a centering portion having at least three edges (21/1,21/2,21/3), at least three side surfaces (17/1,17/2,17/3) and an imaginary base surface, wherein the centering portion is provided instead of a transverse cutting edge on the drilling tool such that it replaces the transverse cutting edge, wherein - at least two of the edges (21/1,21/2,21/3,21/4) lie on an imaginary second conical surface which is arranged concentrically with respect to the middle axis and has a second cone angle (β) which opens in the direction of the opposing end, wherein - the second cone angle (β) is smaller than the first cone angle (α), - so that the imaginary second conical surface - viewed from the opposing end - protrudes from the front side, wherein - the at least two primary cutting edges (3/1,3/2) each have an outer first primary cutting edge portion (11/1,11/2) and an adjoining inner second primary cutting edge portion (15/1,15/2), and wherein - the at least two primary cutting edges (3/1,3/2) each continue into one of the edges (21/1,21/2,21/3,21/4) of the centering portion.