13320210311257 has 2 divisors, whose sum is σ = 13320210311258. Its totient is φ = 13320210311256.

The previous prime is 13320210311203. The next prime is 13320210311329. The reversal of 13320210311257 is 75211301202331.

13320210311257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12682295010841 + 637915300416 = 3561221^2 + 798696^2 .

It is a cyclic number.

It is not a de Polignac number, because 13320210311257 - 2⁷ = 13320210311129 is a prime.

It is a super-2 number, since 2×13320210311257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13320210317257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660105155628 + 6660105155629.

It is an arithmetic number, because the mean of its divisors is an integer number (6660105155629).

Almost surely, 2^{13320210311257} is an apocalyptic number.

It is an amenable number.

13320210311257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13320210311257 is an equidigital number, since it uses as much as digits as its factorization.

13320210311257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 13320210311257 its reverse (75211301202331), we get a palindrome (88531511513588).

The spelling of 13320210311257 in words is "thirteen trillion, three hundred twenty billion, two hundred ten million, three hundred eleven thousand, two hundred fifty-seven".