311027113757 has 2 divisors, whose sum is σ = 311027113758. Its totient is φ = 311027113756.

The previous prime is 311027113717. The next prime is 311027113759. The reversal of 311027113757 is 757311720113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230655430756 + 80371683001 = 480266^2 + 283499^2 .

It is a cyclic number.

It is not a de Polignac number, because 311027113757 - 2³⁴ = 293847244573 is a prime.

Together with 311027113759, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311027113757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311027113759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155513556878 + 155513556879.

It is an arithmetic number, because the mean of its divisors is an integer number (155513556879).

Almost surely, 2^311027113757 is an apocalyptic number.

It is an amenable number.

311027113757 is a deficient number, since it is larger than the sum of its proper divisors (1).

311027113757 is an equidigital number, since it uses as much as digits as its factorization.

311027113757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870, while the sum is 38.

The spelling of 311027113757 in words is "three hundred eleven billion, twenty-seven million, one hundred thirteen thousand, seven hundred fifty-seven".