You need to know what's normal for you and also the conditions it was taken under. E.g. If I test mine at home or if I've been sitting down for ages (eg at midwife appointment) it's usually about 108/68 but when I had it done at the dr it was 140/80.
Pulse does sound high though. Again, everyone's different; mine hovers around 60 (sadly due to genetics NOT fitness!) so I think it's high if it's over about 80 and I'm not working out. Yours might run high naturally but 113 does sound a bit high.
Why not see GP for a quick check? You can also get a monitor from boots and check in the quiet of your own home where you'll be relaxed; they aren't expensive.