31313332131100 has 144 divisors (see below), whose sum is σ = 71479824998400. Its totient is φ = 11890934496000.

The previous prime is 31313332131091. The next prime is 31313332131101. The reversal of 31313332131100 is 113123331313.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313332131101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87430390 + ... + 87787810.

It is an arithmetic number, because the mean of its divisors is an integer number (496387673600).

Almost surely, 2^{31313332131100} 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 31313332131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35739912499200).

31313332131100 is an abundant number, since it is smaller than the sum of its proper divisors (40166492867300).

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

31313332131100 is a wasteful number, since it uses less digits than its factorization.

31313332131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358004 (or 357997 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 31313332131100 its reverse (113123331313), we get a palindrome (31426455462413).

The spelling of 31313332131100 in words is "thirty-one trillion, three hundred thirteen billion, three hundred thirty-two million, one hundred thirty-one thousand, one hundred".