311301103113 has 192 divisors, whose sum is σ = 637326144000. Its totient is φ = 144121904640.

The previous prime is 311301103063. The next prime is 311301103151.

311301103113 is a `hidden beast` number, since 311 + 30 + 1 + 10 + 311 + 3 = 666.

311301103113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311301103113 - 2¹² = 311301099017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311301103163) 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, 12789631 + ... + 12813947.

It is an arithmetic number, because the mean of its divisors is an integer number (3319407000).

Almost surely, 2^311301103113 is an apocalyptic number.

311301103113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311301103113 is an abundant number, since it is smaller than the sum of its proper divisors (326025040887).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311301103113 is a wasteful number, since it uses less digits than its factorization.

311301103113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24397 (or 24380 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 311301 and 103113, that added together give a palindrome (414414).

The spelling of 311301103113 in words is "three hundred eleven billion, three hundred one million, one hundred three thousand, one hundred thirteen".