113113232100 has 162 divisors, whose sum is σ = 389709217170. Its totient is φ = 27421363200.

The previous prime is 113113232069. The next prime is 113113232107. The reversal of 113113232100 is 1232311311.

113113232100 is a `hidden beast` number, since 1 + 1 + 311 + 32 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31216529124 + 81896702976 = 176682^2 + 286176^2 .

It is a super-3 number, since 3×113113232100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (113113232107) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 410445 + ... + 628244.

Almost surely, 2^113113232100 is an apocalyptic number.

113113232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113113232100 is an abundant number, since it is smaller than the sum of its proper divisors (276595985070).

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

113113232100 is a wasteful number, since it uses less digits than its factorization.

113113232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038731 (or 1038710 counting only the distinct ones).

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

Adding to 113113232100 its reverse (1232311311), we get a palindrome (114345543411).

It can be divided in two parts, 1131 and 13232100, that added together give a palindrome (13233231).

The spelling of 113113232100 in words is "one hundred thirteen billion, one hundred thirteen million, two hundred thirty-two thousand, one hundred".