112013000100 has 108 divisors (see below), whose sum is σ = 351191717604. Its totient is φ = 29862205440.

The previous prime is 112013000041. The next prime is 112013000161. The reversal of 112013000100 is 1000310211.

It can be written as a sum of positive squares in 6 ways, for example, as 49475994624 + 62537005476 = 222432^2 + 250074^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3888952 + ... + 3917648.

It is an arithmetic number, because the mean of its divisors is an integer number (3251775163).

Almost surely, 2^112013000100 is an apocalyptic number.

112013000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112013000100 is an abundant number, since it is smaller than the sum of its proper divisors (239178717504).

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

112013000100 is a wasteful number, since it uses less digits than its factorization.

112013000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33054 (or 33044 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 112013000100 its reverse (1000310211), we get a palindrome (113013310311).

The spelling of 112013000100 in words is "one hundred twelve billion, thirteen million, one hundred", and thus it is an aban number.