[en] The inclusive top quark pair ($t\stackrel{¯<!--\; ??\; -->}{t}$) production cross-section σ${}_{t\stackrel{¯<!--\; ??\; -->}{t}}$ has been measured in proton–proton collisions at $\sqrt{s}$ = 13 TeV, using 36.1 fb${}^{\text{â<!-- ?? -->}\text{ˆ<!-- ?? -->}\text{’<!-- ??? -->}1}$ of data collected in 2015–2016 by the ATLAS experiment at the LHC. Using events with an opposite-charge eμ pair and b-tagged jets, the cross-section is measured to be: σ${}_{t\stackrel{¯<!--\; ??\; -->}{t}}$ = 826.4 ± 3.6(stat) ± 11.5(syst) ± 15.7(lumi) ± 1.9(beam)pb, where the uncertainties reflect the limited size of the data sample, experimental and theoretical systematic effects, the integrated luminosity, and the LHC beam energy, giving a total uncertainty of 2.4%. The result is consistent with theoretical QCD calculations at next-to-next-to-leading order. It is used to determine the top quark pole mass via the dependence of the predicted cross-section on m${}_t^{pole}$ , giving m${}_t^{pole}$ = 173.1${}_{\text{â<!-- ?? -->}\text{ˆ<!-- ?? -->}\text{’<!-- ??? -->}2.1}^{+2.0}$ GeV. It is also combined with measurements at $\sqrt{s}$ = 7 TeV and $\sqrt{s}$ = 8 TeV to derive ratios and double ratios of $t\stackrel{¯<!--\; ??\; -->}{t}$ and Z cross-sections at different energies. The same event sample is used to measure absolute and normalised differential cross-sections as functions of single-lepton and dilepton kinematic variables, and the results are compared with predictions from various Monte Carlo event generators.