311331020133113 has 4 divisors (see below), whose sum is σ = 312012269630580. Its totient is φ = 310649770635648.

The previous prime is 311331020133109. The next prime is 311331020133143.

311331020133113 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 224928845626384 + 86402174506729 = 14997628^2 + 9295277^2 .

It is a cyclic number.

It is not a de Polignac number, because 311331020133113 - 2² = 311331020133109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311331020133143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 340624748048 + ... + 340624748961.

It is an arithmetic number, because the mean of its divisors is an integer number (78003067407645).

Almost surely, 2^{311331020133113} is an apocalyptic number.

It is an amenable number.

311331020133113 is a deficient number, since it is larger than the sum of its proper divisors (681249497467).

311331020133113 is an equidigital number, since it uses as much as digits as its factorization.

311331020133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681249497466.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 311331020133113 in words is "three hundred eleven trillion, three hundred thirty-one billion, twenty million, one hundred thirty-three thousand, one hundred thirteen".