31311312032 has 192 divisors, whose sum is σ = 84460320000. Its totient is φ = 11260247040.

The previous prime is 31311312031. The next prime is 31311312037. The reversal of 31311312032 is 23021311313.

It is a super-2 number, since 2×31311312032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31311311995 and 31311312013.

It is not an unprimeable number, because it can be changed into a prime (31311312031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559594 + ... + 1579542.

It is an arithmetic number, because the mean of its divisors is an integer number (439897500).

Almost surely, 2^31311312032 is an apocalyptic number.

31311312032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160000).

31311312032 is an abundant number, since it is smaller than the sum of its proper divisors (53149007968).

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

31311312032 is a wasteful number, since it uses less digits than its factorization.

31311312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20004 (or 19982 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31311312032 its reverse (23021311313), we get a palindrome (54332623345).

It can be divided in two parts, 31311 and 312032, that added together give a palindrome (343343).

The spelling of 31311312032 in words is "thirty-one billion, three hundred eleven million, three hundred twelve thousand, thirty-two".