311233242332113 has 16 divisors (see below), whose sum is σ = 320616315196416. Its totient is φ = 301987203918400.

The previous prime is 311233242332087. The next prime is 311233242332143.

311233242332113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311233242332113 - 2¹³ = 311233242323921 is a prime.

It is a super-2 number, since 2×311233242332113² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311233242332143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29066245 + ... + 38305522.

It is an arithmetic number, because the mean of its divisors is an integer number (20038519699776).

Almost surely, 2^{311233242332113} is an apocalyptic number.

It is an amenable number.

311233242332113 is a deficient number, since it is larger than the sum of its proper divisors (9383072864303).

311233242332113 is a wasteful number, since it uses less digits than its factorization.

311233242332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67372784.

The product of its digits is 46656, while the sum is 34.

The spelling of 311233242332113 in words is "three hundred eleven trillion, two hundred thirty-three billion, two hundred forty-two million, three hundred thirty-two thousand, one hundred thirteen".