311431323134113 has 32 divisors (see below), whose sum is σ = 385233468480000. Its totient is φ = 245164361181696.

The previous prime is 311431323134111. The next prime is 311431323134143.

311431323134113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311431323134113 - 2¹ = 311431323134111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311431323134111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214062095 + ... + 1214318587.

It is an arithmetic number, because the mean of its divisors is an integer number (12038545890000).

Almost surely, 2^{311431323134113} is an apocalyptic number.

It is an amenable number.

311431323134113 is a deficient number, since it is larger than the sum of its proper divisors (73802145345887).

311431323134113 is a wasteful number, since it uses less digits than its factorization.

311431323134113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323761.

The product of its digits is 23328, while the sum is 34.

The spelling of 311431323134113 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-four thousand, one hundred thirteen".