31517119180801 has 2 divisors, whose sum is σ = 31517119180802. Its totient is φ = 31517119180800.

The previous prime is 31517119180787. The next prime is 31517119180867. The reversal of 31517119180801 is 10808191171513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27163536778225 + 4353582402576 = 5211865^2 + 2086524^2 .

It is an emirp because it is prime and its reverse (10808191171513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31517119180801 - 2¹⁵ = 31517119148033 is a prime.

It is not a weakly prime, because it can be changed into another prime (31517119180891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15758559590400 + 15758559590401.

It is an arithmetic number, because the mean of its divisors is an integer number (15758559590401).

Almost surely, 2^{31517119180801} is an apocalyptic number.

It is an amenable number.

31517119180801 is a deficient number, since it is larger than the sum of its proper divisors (1).

31517119180801 is an equidigital number, since it uses as much as digits as its factorization.

31517119180801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 46.

The spelling of 31517119180801 in words is "thirty-one trillion, five hundred seventeen billion, one hundred nineteen million, one hundred eighty thousand, eight hundred one".