311218812113 has 16 divisors (see below), whose sum is σ = 343217952000. Its totient is φ = 279851504400.

The previous prime is 311218812097. The next prime is 311218812137.

311218812113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311218812113 - 2⁴ = 311218812097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 311218812113.

It is not an unprimeable number, because it can be changed into a prime (311218812143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90638 + ... + 794136.

It is an arithmetic number, because the mean of its divisors is an integer number (21451122000).

Almost surely, 2^311218812113 is an apocalyptic number.

It is an amenable number.

311218812113 is a deficient number, since it is larger than the sum of its proper divisors (31999139887).

311218812113 is a wasteful number, since it uses less digits than its factorization.

311218812113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703948.

The product of its digits is 2304, while the sum is 32.

The spelling of 311218812113 in words is "three hundred eleven billion, two hundred eighteen million, eight hundred twelve thousand, one hundred thirteen".