That's quite a low allowance however it's just enough to get all your nutrients if you spend it wisely! Are you feeling relatively satisfied on 1300 calories? If you are very hungry and finding it hard to keep your energy up then it might be more sustainable to up it a tiny bit, even if only by 100-150 calories of nutrient dense food. If you are fine with it, and you may be if you are fairly petite and not very overweight, then that's fair enough but you may also consider just upping the calories for one day a week, to prevent any slowing in your metabolism and to give you a bit of room for a small something that you fancy!
1300 calories a day could be broken down in to a 500 kcalorie breakfast (it's very beneficial to eat more at the start of the day to boost your energy and reduce snacking later on), 400kcal lunch and 400kcal dinner, or if you prefer to eat little and often, then a 400 cal breakfast, 300 cal lunch, 400 cal dinner and 2 100 calorie snacks.
Example of the first one:
B: 250g low fat greek style yoghurt, mixed with 1 banana, 25g muesli or branflakes, and 15g chopped nuts or mixed seeds.
L: Small baked potato, half a tin of low sugar and salt beans, and 25g cheddar cheese, plus some plain salad
D: Chickpea and cauliflower curry made with a tiny bit of oil, and half a cup of brown rice.
Hope that helps a bit. x