1300mAH 1.2V
= 1.3 AH 1.2V
= 1.3 * 1.2Wh
= 1.58 Wh
10 batteries = 1.58 * 10 Wh
= 15.8 Wh
If you want to charge them in 8 hours 15.8 Wh / 8h = 1.975W
So the simple answer is "About 2 watts"
However, the real answer is more complex.
Firstly, you have to provide the correct voltage to the batteries, and this may not match the voltage at which the panel provides the most current, so you need a larger panel, or a MPPT regulator. Let's assume you go for the latter.
The MPPT regulator might be 90% efficient, so your panel now needs to be 100/90 * 1.975W = 2.194 W
The batteries require more energy to charge than they gave up whilst being discharged. Let's say these batteries require 25% more power.
So the panel needs to be 2.194 * 1.25 = 2.743W
In addition to this, you'll never get 100% of the output from your panel, and you'll never even get a constant value.
I have solar panels on my roof. There are "5kW" of them. Pictures tell the story far better than words.
Here is a nice sunny day. I never hit 5kW, and I get about 10 hours of generation per day, but most of it is during a 6 hour period.
But, it's not always that good.
Sometimes it rains.
Sometimes it's cloudy.
And even on a fine day you get less hours of sunshine some months.
So, how could we calculate how much power we would get?
OK, here's a monthly graph from January:
We could say that conservatively, You can expect a maximum of just over 30kW from a 5kW system -- that equates to the equivalent of 6 hours of full sun per day.
But let's get more conservative...
Here's winter. There's more variation, but let's call it an average of 10kW per day (it may be generous).
That's the equivalent of only 2 hours of sun per day! Some days we get the equivalent of less than 40 minutes!
It's very clear if we look at it over a year:
The actual shape of these graphs will be different depending on where you are (can you guess where I am?)
The point is, if I were wanting around 22Wh per day, I would need an 11W panel to give me that (on average) in winter. Given that a couple of days had under 1 hour of equivalent sunshine, a 25W panel would almost guarantee me that I could charge those batteries in a day.
And 25W differs by almost an order of magnitude from the 2.75W calculated above.
p.s. I live in a very sunny place.