311211112113 has 12 divisors (see below), whose sum is σ = 490393267728. Its totient is φ = 188612795160.

The previous prime is 311211112103. The next prime is 311211112127.

311211112113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311211112113 - 2²⁰ = 311210063537 is a prime.

It is a super-2 number, since 2×311211112113² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311211112103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1571773195 + ... + 1571773392.

It is an arithmetic number, because the mean of its divisors is an integer number (40866105644).

Almost surely, 2^311211112113 is an apocalyptic number.

311211112113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311211112113 is a deficient number, since it is larger than the sum of its proper divisors (179182155615).

311211112113 is a wasteful number, since it uses less digits than its factorization.

311211112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143546604 (or 3143546601 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

It can be divided in two parts, 311211 and 112113, that added together give a palindrome (423324).

The spelling of 311211112113 in words is "three hundred eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred thirteen".