113130000100 has 72 divisors (see below), whose sum is σ = 265221713960. Its totient is φ = 41637473280.

The previous prime is 113130000091. The next prime is 113130000161. The reversal of 113130000100 is 1000031311.

It can be written as a sum of positive squares in 12 ways, for example, as 104475047076 + 8654953024 = 323226^2 + 93032^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 267886 + ... + 545914.

Almost surely, 2^113130000100 is an apocalyptic number.

113130000100 is a gapful number since it is divisible by the number (10) 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 113130000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132610856980).

113130000100 is an abundant number, since it is smaller than the sum of its proper divisors (152091713860).

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

113130000100 is a wasteful number, since it uses less digits than its factorization.

113130000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278369 (or 278362 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 113130000100 its reverse (1000031311), we get a palindrome (114130031411).

The spelling of 113130000100 in words is "one hundred thirteen billion, one hundred thirty million, one hundred", and thus it is an aban number.