Since "explosionproof” is typically an NEC, “Division” term, I will tell you that, if the only mark on the motor is E Exe II, it is not explosionproof.
While DRWeig is correct saying “Ex d” is closer, it still isn’t explosionproof; it is IEC “flameproof”. While they are similar in concept, they use different test standards.
The mark as you indicated appears to be ATEX. The first “E” means it is marked for (EU) Zones. The Ex e is “increased safety” suitable for Zones 1 and 2 and the “II” alone is means suitable for all gas and vapor Groups.
In the US, “Ex-anything” is meaningless; it must be AEx. See NEC Section 505.9(C)(2)(3). Again the US domestic test standards are different.