31130289665681 has 2 divisors, whose sum is σ = 31130289665682. Its totient is φ = 31130289665680.

The previous prime is 31130289665653. The next prime is 31130289665689. The reversal of 31130289665681 is 18656698203113.

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., 23728190003281 + 7402099662400 = 4871159^2 + 2720680^2 .

It is a cyclic number.

It is not a de Polignac number, because 31130289665681 - 2¹⁰ = 31130289664657 is a prime.

It is a super-2 number, since 2×31130289665681² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31130289665681.

It is not a weakly prime, because it can be changed into another prime (31130289665689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565144832840 + 15565144832841.

It is an arithmetic number, because the mean of its divisors is an integer number (15565144832841).

Almost surely, 2^{31130289665681} is an apocalyptic number.

It is an amenable number.

31130289665681 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130289665681 is an equidigital number, since it uses as much as digits as its factorization.

31130289665681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 31130289665681 in words is "thirty-one trillion, one hundred thirty billion, two hundred eighty-nine million, six hundred sixty-five thousand, six hundred eighty-one".