An aqueous surfactant composition comprising • one or more alpha-sulfo fatty acid disalts of the general formula, R 1 CH(SO 3 M 1) COOM 2 in which the radical R 1 is a saturated, linear alkyl radical having 10 to 16 carbon atoms, wherein, with respect to the compounds, the proportion of the compounds in which the radical R1 is a decyl or dodecyl radical - based on the total amount of the compounds - is 90% by weight or more and the radicals M 1 and M 2 - independently of each other - are selected from the group comprising H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, • one or more N-acyl amino acid compounds selected from the group of sarcosinates of the general formula (IIb), • R 23 -CO-N(CH 3)-CH 2 -COOM 13 (IIb) wherein the radical R 23 is a linear or branched alkyl or alkenyl radical having 7 to 19 carbon atoms and the radical M 13 is selected from the group comprising H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamines, • water, • one or more compounds of the general formula R 4 COOM 5 in which the radical R 4 is a linear or branched alkyl or alkenyl radical having 7 to 19 carbon atoms and the radical M 5 is selected from the group comprising H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, • one or more inorganic salts of sulfuric acid of the general formula (M 6) 2 SO 4 wherein M 6 is selected from the group comprising Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, wherein the following proviso applies: • if the aqueous surfactant composition comprises one or more ester sulfonates of the general formula, R 2 CH(SO 3 M 7) COOR 3 in which the radical R 2 is a linear or branched alkyl or alkenyl radical having 6 to 18 carbon atoms and the radical R 3 is a linear or branched alkyl or alkenyl radical having 1 to 20 carbon atoms, wherein the radical R 3 can logically be an alkenyl radical or be branched only above 3 carbon atoms, and the radical M 7 is selected from the group comprising Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamines, it is the case that the compounds - based on the totality of the compounds and - must be present to an extent of 90% by weight or more. • one or more alpha-sulfo fatty acid disalts of the general formula, R 1 CH(SO 3 M 1) COOM 2 in which the radical R 1 is a saturated, linear alkyl radical having 10 to 16 carbon atoms, wherein, with respect to the compounds, the proportion of the compounds in which the radical R1 is a decyl or dodecyl radical - based on the total amount of the compounds - is 90% by weight or more and the radicals M 1 and M 2 - independently of each other - are selected from the group comprising H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, • one or more N-acyl amino acid compounds selected from the group of sarcosinates of the general formula (IIb), • R 23 -CO-N(CH 3)-CH 2 -COOM 13 (IIb) wherein the radical R 23 is a linear or branched alkyl or alkenyl radical having 7 to 19 carbon atoms and the radical M 13 is selected from the group comprising H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamines, • water, • one or more compounds of the general formula R 4 COOM 5 in which the radical R 4 is a linear or branched alkyl or alkenyl radical having 7 to 19 carbon atoms and the radical M 5 is selected from the group comprising H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, • one or more inorganic salts of sulfuric acid of the general formula (M 6) 2 SO 4 wherein M 6 is selected from the group comprising Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, • if the aqueous surfactant composition comprises one or more ester sulfonates of the general formula, R 2 CH(SO 3 M 7) COOR 3 in which the radical R 2 is a linear or branched alkyl or alkenyl radical having 6 to 18 carbon atoms and the radical R 3 is a linear or branched alkyl or alkenyl radical having 1 to 20 carbon atoms, wherein the radical R 3 can logically be an alkenyl radical or be branched only above 3 carbon atoms, and the radical M 7 is selected from the group comprising Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamines, it is the case that the compounds - based on the totality of the compounds and - must be present to an extent of 90% by weight or more.