313131009977 has 2 divisors, whose sum is σ = 313131009978. Its totient is φ = 313131009976.

The previous prime is 313131009901. The next prime is 313131009991. The reversal of 313131009977 is 779900131313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281548033321 + 31582976656 = 530611^2 + 177716^2 .

It is an emirp because it is prime and its reverse (779900131313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313131009977 - 2²⁰ = 313129961401 is a prime.

It is not a weakly prime, because it can be changed into another prime (313131000977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565504988 + 156565504989.

It is an arithmetic number, because the mean of its divisors is an integer number (156565504989).

Almost surely, 2^313131009977 is an apocalyptic number.

It is an amenable number.

313131009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131009977 is an equidigital number, since it uses as much as digits as its factorization.

313131009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107163, while the sum is 44.

The spelling of 313131009977 in words is "three hundred thirteen billion, one hundred thirty-one million, nine thousand, nine hundred seventy-seven".