113120004132 has 108 divisors (see below), whose sum is σ = 302758960140. Its totient is φ = 35606697984.

The previous prime is 113120004119. The next prime is 113120004139. The reversal of 113120004132 is 231400021311.

It can be written as a sum of positive squares in 2 ways, for example, as 29868134976 + 83251869156 = 172824^2 + 288534^2 .

It is a super-2 number, since 2×113120004132² (a number of 23 digits) contains 22 as substring.

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 (113120004139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4053844 + ... + 4081652.

It is an arithmetic number, because the mean of its divisors is an integer number (2803323705).

Almost surely, 2^113120004132 is an apocalyptic number.

113120004132 is a gapful number since it is divisible by the number (12) 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 113120004132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151379480070).

113120004132 is an abundant number, since it is smaller than the sum of its proper divisors (189638956008).

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

113120004132 is a wasteful number, since it uses less digits than its factorization.

113120004132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28170 (or 28146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113120004132 its reverse (231400021311), we get a palindrome (344520025443).

The spelling of 113120004132 in words is "one hundred thirteen billion, one hundred twenty million, four thousand, one hundred thirty-two".