311312343213113 has 6 divisors (see below), whose sum is σ = 342186294606282. Its totient is φ = 283011221102720.

The previous prime is 311312343213107. The next prime is 311312343213143.

311312343213113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 271483521237049 + 39828821976064 = 16476757^2 + 6311008^2 .

It is not a de Polignac number, because 311312343213113 - 2³⁰ = 311311269471289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311312343213113.

It is not an unprimeable number, because it can be changed into a prime (311312343213143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1286414641256 + ... + 1286414641497.

It is an arithmetic number, because the mean of its divisors is an integer number (57031049101047).

Almost surely, 2^{311312343213113} is an apocalyptic number.

It is an amenable number.

311312343213113 is a deficient number, since it is larger than the sum of its proper divisors (30873951393169).

311312343213113 is a wasteful number, since it uses less digits than its factorization.

311312343213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572829282775 (or 2572829282764 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The spelling of 311312343213113 in words is "three hundred eleven trillion, three hundred twelve billion, three hundred forty-three million, two hundred thirteen thousand, one hundred thirteen".