311223121322113 has 96 divisors (see below), whose sum is σ = 430871629402368. Its totient is φ = 218626187028480.

The previous prime is 311223121322107. The next prime is 311223121322119.

311223121322113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (311223121322107) and next prime (311223121322119).

It is not a de Polignac number, because 311223121322113 - 2²¹ = 311223119224961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311223121322119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4882895181 + ... + 4882958917.

It is an arithmetic number, because the mean of its divisors is an integer number (4488246139608).

Almost surely, 2^{311223121322113} is an apocalyptic number.

It is an amenable number.

311223121322113 is a deficient number, since it is larger than the sum of its proper divisors (119648508080255).

311223121322113 is a wasteful number, since it uses less digits than its factorization.

311223121322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74135 (or 74124 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The spelling of 311223121322113 in words is "three hundred eleven trillion, two hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred thirteen".