31311332112 has 120 divisors (see below), whose sum is σ = 85532427360. Its totient is φ = 9868861440.

The previous prime is 31311332083. The next prime is 31311332119. The reversal of 31311332112 is 21123311313.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31311332119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11105839 + ... + 11108657.

It is an arithmetic number, because the mean of its divisors is an integer number (712770228).

Almost surely, 2^31311332112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42766213680).

31311332112 is an abundant number, since it is smaller than the sum of its proper divisors (54221095248).

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

31311332112 is a wasteful number, since it uses less digits than its factorization.

31311332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3484 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 31311332112 its reverse (21123311313), we get a palindrome (52434643425).

The spelling of 31311332112 in words is "thirty-one billion, three hundred eleven million, three hundred thirty-two thousand, one hundred twelve".