31013103312032 has 96 divisors (see below), whose sum is σ = 64236131265600. Its totient is φ = 14724679936000.

The previous prime is 31013103312031. The next prime is 31013103312101. The reversal of 31013103312032 is 23021330131013.

It is a junction number, because it is equal to n+sod(n) for n = 31013103311989 and 31013103312007.

It is not an unprimeable number, because it can be changed into a prime (31013103312031) 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, 5834819 + ... + 9801597.

It is an arithmetic number, because the mean of its divisors is an integer number (669126367350).

Almost surely, 2^{31013103312032} is an apocalyptic number.

31013103312032 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 31013103312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32118065632800).

31013103312032 is an abundant number, since it is smaller than the sum of its proper divisors (33223027953568).

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

31013103312032 is a wasteful number, since it uses less digits than its factorization.

31013103312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966990 (or 3966982 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 31013103312032 its reverse (23021330131013), we get a palindrome (54034433443045).

The spelling of 31013103312032 in words is "thirty-one trillion, thirteen billion, one hundred three million, three hundred twelve thousand, thirty-two".