311432262234113 has 2 divisors, whose sum is σ = 311432262234114. Its totient is φ = 311432262234112.

The previous prime is 311432262234109. The next prime is 311432262234161.

311432262234113 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305867324617969 + 5564937616144 = 17489063^2 + 2359012^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 311432262234113 - 2² = 311432262234109 is a prime.

It is not a weakly prime, because it can be changed into another prime (341432262234113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155716131117056 + 155716131117057.

It is an arithmetic number, because the mean of its divisors is an integer number (155716131117057).

Almost surely, 2^{311432262234113} is an apocalyptic number.

It is an amenable number.

311432262234113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311432262234113 is an equidigital number, since it uses as much as digits as its factorization.

311432262234113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 124416, while the sum is 38.

The spelling of 311432262234113 in words is "three hundred eleven trillion, four hundred thirty-two billion, two hundred sixty-two million, two hundred thirty-four thousand, one hundred thirteen".