31112210133120 has 256 divisors, whose sum is σ = 100636881269760. Its totient is φ = 8174046720000.

The previous prime is 31112210133089. The next prime is 31112210133197. The reversal of 31112210133120 is 2133101221113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197721675 + ... + 197878965.

It is an arithmetic number, because the mean of its divisors is an integer number (393112817460).

Almost surely, 2^{31112210133120} is an apocalyptic number.

31112210133120 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 31112210133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50318440634880).

31112210133120 is an abundant number, since it is smaller than the sum of its proper divisors (69524671136640).

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

31112210133120 is a wasteful number, since it uses less digits than its factorization.

31112210133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158835 (or 158823 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 31112210133120 its reverse (2133101221113), we get a palindrome (33245311354233).

The spelling of 31112210133120 in words is "thirty-one trillion, one hundred twelve billion, two hundred ten million, one hundred thirty-three thousand, one hundred twenty".