31013098865681 has 2 divisors, whose sum is σ = 31013098865682. Its totient is φ = 31013098865680.

The previous prime is 31013098865629. The next prime is 31013098865687. The reversal of 31013098865681 is 18656889031013.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27185535300625 + 3827563565056 = 5213975^2 + 1956416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31013098865681 is a prime.

It is a super-2 number, since 2×31013098865681² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31013098865681.

It is not a weakly prime, because it can be changed into another prime (31013098865687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506549432840 + 15506549432841.

It is an arithmetic number, because the mean of its divisors is an integer number (15506549432841).

Almost surely, 2^{31013098865681} is an apocalyptic number.

It is an amenable number.

31013098865681 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013098865681 is an equidigital number, since it uses as much as digits as its factorization.

31013098865681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7464960, while the sum is 59.

The spelling of 31013098865681 in words is "thirty-one trillion, thirteen billion, ninety-eight million, eight hundred sixty-five thousand, six hundred eighty-one".