31131073577 has 2 divisors, whose sum is σ = 31131073578. Its totient is φ = 31131073576.

The previous prime is 31131073553. The next prime is 31131073619. The reversal of 31131073577 is 77537013113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29932806121 + 1198267456 = 173011^2 + 34616^2 .

It is a cyclic number.

It is not a de Polignac number, because 31131073577 - 2²⁰ = 31130025001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31131073577.

It is not a weakly prime, because it can be changed into another prime (31131073517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565536788 + 15565536789.

It is an arithmetic number, because the mean of its divisors is an integer number (15565536789).

Almost surely, 2^31131073577 is an apocalyptic number.

It is an amenable number.

31131073577 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131073577 is an equidigital number, since it uses as much as digits as its factorization.

31131073577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46305, while the sum is 38.

The spelling of 31131073577 in words is "thirty-one billion, one hundred thirty-one million, seventy-three thousand, five hundred seventy-seven".