31031013002112 has 448 divisors, whose sum is σ = 93602860738560. Its totient is φ = 10241794483200.

The previous prime is 31031013002111. The next prime is 31031013002149. The reversal of 31031013002112 is 21120031013013.

31031013002112 is a `hidden beast` number, since 3 + 10 + 310 + 130 + 0 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31031013002111) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6671898987 + ... + 6671903637.

Almost surely, 2^{31031013002112} is an apocalyptic number.

31031013002112 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 31031013002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46801430369280).

31031013002112 is an abundant number, since it is smaller than the sum of its proper divisors (62571847736448).

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

31031013002112 is an equidigital number, since it uses as much as digits as its factorization.

31031013002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31031013002112 its reverse (21120031013013), we get a palindrome (52151044015125).

The spelling of 31031013002112 in words is "thirty-one trillion, thirty-one billion, thirteen million, two thousand, one hundred twelve".