113132100 has 72 divisors (see below), whose sum is σ = 329805280. Its totient is φ = 29940480.

The previous prime is 113132077. The next prime is 113132119. The reversal of 113132100 is 1231311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40344 + ... + 43056.

Almost surely, 2^113132100 is an apocalyptic number.

113132100 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 113132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164902640).

113132100 is an abundant number, since it is smaller than the sum of its proper divisors (216673180).

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

113132100 is a wasteful number, since it uses less digits than its factorization.

113132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113132100 is about 10636.3574592057. The cubic root of 113132100 is about 483.6471314094.

Adding to 113132100 its reverse (1231311), we get a palindrome (114363411).

The spelling of 113132100 in words is "one hundred thirteen million, one hundred thirty-two thousand, one hundred".