311232222232113 has 192 divisors, whose sum is σ = 539857628593920. Its totient is φ = 157954261248000.

The previous prime is 311232222232109. The next prime is 311232222232157.

It is a happy number.

311232222232113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311232222232113 - 2² = 311232222232109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311232222232213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5920200118 + ... + 5920252688.

It is an arithmetic number, because the mean of its divisors is an integer number (2811758482260).

Almost surely, 2^{311232222232113} is an apocalyptic number.

It is an amenable number.

311232222232113 is a deficient number, since it is larger than the sum of its proper divisors (228625406361807).

311232222232113 is a wasteful number, since it uses less digits than its factorization.

311232222232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53568 (or 53561 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 311232222232113 in words is "three hundred eleven trillion, two hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred thirteen".