113301113120100 has 54 divisors (see below), whose sum is σ = 355136044571490. Its totient is φ = 30213630165120.

The previous prime is 113301113120089. The next prime is 113301113120161. The reversal of 113301113120100 is 1021311103311.

113301113120100 is a `hidden beast` number, since 1 + 1 + 330 + 1 + 1 + 131 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10401553820736 + 102899559299364 = 3225144^2 + 10143942^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62945061945 + ... + 62945063744.

Almost surely, 2^{113301113120100} is an apocalyptic number.

113301113120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113301113120100 is an abundant number, since it is smaller than the sum of its proper divisors (241834931451390).

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

113301113120100 is a wasteful number, since it uses less digits than its factorization.

113301113120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125890125709 (or 125890125699 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113301113120100 its reverse (1021311103311), we get a palindrome (114322424223411).

The spelling of 113301113120100 in words is "one hundred thirteen trillion, three hundred one billion, one hundred thirteen million, one hundred twenty thousand, one hundred".