Sounds about right. Your registration document might tell you in the field called "Euro status No." However, 2013 was certainly Euro 5 territory. It's hard to know, because there are all sorts of skullduggeries that manufacturers can get up to in order to give themselves more time to comply!
Anyway, if it is EU5, it will have a DPF, so it should be completely free of visible smoke. A few years ago, I did some type approval emissions tests on a few different cars, and the diesels were better on particulates than the petrols!