31312330133100 has 144 divisors (see below), whose sum is σ = 92942597543040. Its totient is φ = 8134367859200.

The previous prime is 31312330133093. The next prime is 31312330133137. The reversal of 31312330133100 is 133103321313.

It is a super-2 number, since 2×31312330133100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6537271 + ... + 10264529.

It is an arithmetic number, because the mean of its divisors is an integer number (645434705160).

Almost surely, 2^{31312330133100} is an apocalyptic number.

31312330133100 is a gapful number since it is divisible by the number (30) 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 31312330133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46471298771520).

31312330133100 is an abundant number, since it is smaller than the sum of its proper divisors (61630267409940).

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

31312330133100 is a wasteful number, since it uses less digits than its factorization.

31312330133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728000 (or 3727993 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 31312330133100 its reverse (133103321313), we get a palindrome (31445433454413).

The spelling of 31312330133100 in words is "thirty-one trillion, three hundred twelve billion, three hundred thirty million, one hundred thirty-three thousand, one hundred".