311113112112 has 80 divisors (see below), whose sum is σ = 974192588160. Its totient is φ = 94276699200.

The previous prime is 311113112111. The next prime is 311113112129. The reversal of 311113112112 is 211211311113.

311113112112 is a `hidden beast` number, since 31 + 111 + 311 + 211 + 2 = 666.

It is a super-2 number, since 2×311113112112² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (311113112111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32730214 + ... + 32739717.

It is an arithmetic number, because the mean of its divisors is an integer number (12177407352).

Almost surely, 2^311113112112 is an apocalyptic number.

It is an amenable number.

311113112112 is an abundant number, since it is smaller than the sum of its proper divisors (663079476048).

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

311113112112 is a wasteful number, since it uses less digits than its factorization.

311113112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65469959 (or 65469947 counting only the distinct ones).

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

Adding to 311113112112 its reverse (211211311113), we get a palindrome (522324423225).

The spelling of 311113112112 in words is "three hundred eleven billion, one hundred thirteen million, one hundred twelve thousand, one hundred twelve".