311332141233113 has 96 divisors (see below), whose sum is σ = 434296181668608. Its totient is φ = 217062871534080.

The previous prime is 311332141233107. The next prime is 311332141233119.

311332141233113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (311332141233107) and next prime (311332141233119).

It is not a de Polignac number, because 311332141233113 - 2⁶ = 311332141233049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311332141233113.

It is not an unprimeable number, because it can be changed into a prime (311332141233119) 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 95 ways as a sum of consecutive naturals, for example, 45223631 + ... + 51651147.

It is an arithmetic number, because the mean of its divisors is an integer number (4523918559048).

Almost surely, 2^{311332141233113} is an apocalyptic number.

It is an amenable number.

311332141233113 is a deficient number, since it is larger than the sum of its proper divisors (122964040435495).

311332141233113 is a wasteful number, since it uses less digits than its factorization.

311332141233113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427695 (or 6427684 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The spelling of 311332141233113 in words is "three hundred eleven trillion, three hundred thirty-two billion, one hundred forty-one million, two hundred thirty-three thousand, one hundred thirteen".