311323343323113 has 72 divisors (see below), whose sum is σ = 513563819113800. Its totient is φ = 181379052771840.

The previous prime is 311323343323099. The next prime is 311323343323123.

It is a happy number.

311323343323113 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 2 + 3 + 3 + 4 + 332 + 311 + 3 = 666.

311323343323113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 87041958618384 + 224281384704729 = 9329628^2 + 14976027^2 .

It is not a de Polignac number, because 311323343323113 - 2³³ = 311314753388521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311323343323123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14291820 + ... + 28755917.

It is an arithmetic number, because the mean of its divisors is an integer number (7132830821025).

Almost surely, 2^{311323343323113} is an apocalyptic number.

311323343323113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311323343323113 is a deficient number, since it is larger than the sum of its proper divisors (202240475790687).

311323343323113 is a wasteful number, since it uses less digits than its factorization.

311323343323113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43048023 (or 43048009 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 311323343323113 in words is "three hundred eleven trillion, three hundred twenty-three billion, three hundred forty-three million, three hundred twenty-three thousand, one hundred thirteen".