13303233132257 has 2 divisors, whose sum is σ = 13303233132258. Its totient is φ = 13303233132256.

The previous prime is 13303233132199. The next prime is 13303233132289. The reversal of 13303233132257 is 75223133230331.

13303233132257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10353361616896 + 2949871515361 = 3217664^2 + 1717519^2 .

It is an emirp because it is prime and its reverse (75223133230331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13303233132257 - 2²⁰ = 13303232083681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13303233132257.

It is not a weakly prime, because it can be changed into another prime (13303233132757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651616566128 + 6651616566129.

It is an arithmetic number, because the mean of its divisors is an integer number (6651616566129).

Almost surely, 2^{13303233132257} is an apocalyptic number.

It is an amenable number.

13303233132257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13303233132257 is an equidigital number, since it uses as much as digits as its factorization.

13303233132257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204120, while the sum is 38.

Adding to 13303233132257 its reverse (75223133230331), we get a palindrome (88526366362588).

The spelling of 13303233132257 in words is "thirteen trillion, three hundred three billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred fifty-seven".