Tough thing about earthquakes ti you can't predict and choose to visit or stay away during certain times of year in the way you can with weather-related disasters.
Living in California all my life and having been through a number of large quakes, it's a bit of second nature to expect it can happen at any time.

I was in Tokyo a few years back when a quake struck in the middle of the night. It woke me up and I rode it out. The next morning there was quite a buzz downstairs in the restaurant - mostly people who were from areas not prone to quakes.

Just always be aware of your surroundings and don't make things difficult for yourself in the event of any emergency where you might need to run/escape. Don't leave things in the middle of the floor in an unfamiliar hotel room where you'll like trip over them in the dark in a panic (this drives me nuts with my traveling companions). Keep your important items in an easily accessible place and in the same place every night (phone/wallet/glasses/keys).

Know where the exits are and what your evacuation plan will be.