Divisor 13033

To determine if any number is divisible by 13033, apply the "fxm Test":

1. If your number ("X") has 11 digits or more, separate the last (smallest) 10 digits from the rest. This makes two smaller numbers, call them L^eft and R^ight (note: don't add in trailing zeros to L). If there are fewer than 11 digits, L = 0 and therefore R = X.
2. Multiply L by 661 and add to R.
3. Take that result and cross off its final digit (units). Take this new number and add 3910 times the digit you just crossed off. Call this final result "Y".
4. Y will be much smaller than X, but we have preserved divisibility by 13033. That is, your original number is divisible by 13033 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 13033-times tables, it should be easy to visually see if Y is divisible by 13033. If the Y is still much larger than 13033, the above process can be repeated until it does reduce to within small multiples of 13033.

Easy!