311223242322113 has 24 divisors (see below), whose sum is σ = 345526879541760. Its totient is φ = 280087165028000.

The previous prime is 311223242322059. The next prime is 311223242322133.

311223242322113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311223242322113 - 2¹² = 311223242318017 is a prime.

It is a super-2 number, since 2×311223242322113² (a number of 30 digits) contains 22 as substring.

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 311223242322113.

It is not an unprimeable number, because it can be changed into a prime (311223242322133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80217806 + ... + 84007992.

It is an arithmetic number, because the mean of its divisors is an integer number (14396953314240).

Almost surely, 2^{311223242322113} is an apocalyptic number.

It is an amenable number.

311223242322113 is a deficient number, since it is larger than the sum of its proper divisors (34303637219647).

311223242322113 is a wasteful number, since it uses less digits than its factorization.

311223242322113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797029 (or 3797018 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 311223242322113 in words is "three hundred eleven trillion, two hundred twenty-three billion, two hundred forty-two million, three hundred twenty-two thousand, one hundred thirteen".