311232323232113 has 8 divisors (see below), whose sum is σ = 314708202645480. Its totient is φ = 307764176588800.

The previous prime is 311232323232091. The next prime is 311232323232139.

311232323232113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 157656978159409 + 153575345072704 = 12556153^2 + 12392552^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311232323232113 - 2²⁰ = 311232322183537 is a prime.

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 311232323232113.

It is not an unprimeable number, because it can be changed into a prime (311232323232713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933111568 + ... + 1933272561.

It is an arithmetic number, because the mean of its divisors is an integer number (39338525330685).

Almost surely, 2^{311232323232113} is an apocalyptic number.

It is an amenable number.

311232323232113 is a deficient number, since it is larger than the sum of its proper divisors (3475879413367).

311232323232113 is a wasteful number, since it uses less digits than its factorization.

311232323232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866385027.

The product of its digits is 23328, while the sum is 32.

The spelling of 311232323232113 in words is "three hundred eleven trillion, two hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred thirteen".