311430034113257 has 2 divisors, whose sum is σ = 311430034113258. Its totient is φ = 311430034113256.

The previous prime is 311430034113097. The next prime is 311430034113293. The reversal of 311430034113257 is 752311430034113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309292052063401 + 2137982049856 = 17586701^2 + 1462184^2 .

It is a cyclic number.

It is not a de Polignac number, because 311430034113257 - 2³⁰ = 311428960371433 is a prime.

It is a super-2 number, since 2×311430034113257² (a number of 30 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 311430034113257.

It is not a weakly prime, because it can be changed into another prime (311430034113557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715017056628 + 155715017056629.

It is an arithmetic number, because the mean of its divisors is an integer number (155715017056629).

Almost surely, 2^{311430034113257} is an apocalyptic number.

It is an amenable number.

311430034113257 is a deficient number, since it is larger than the sum of its proper divisors (1).

311430034113257 is an equidigital number, since it uses as much as digits as its factorization.

311430034113257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 311430034113257 in words is "three hundred eleven trillion, four hundred thirty billion, thirty-four million, one hundred thirteen thousand, two hundred fifty-seven".