113003320112100 has 144 divisors (see below), whose sum is σ = 396310633871040. Its totient is φ = 27394744262400.

The previous prime is 113003320112047. The next prime is 113003320112101. The reversal of 113003320112100 is 1211023300311.

113003320112100 is a `hidden beast` number, since 1 + 1 + 300 + 332 + 0 + 11 + 21 + 0 + 0 = 666.

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 (113003320112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1902383097 + ... + 1902442496.

It is an arithmetic number, because the mean of its divisors is an integer number (2752157179660).

Almost surely, 2^{113003320112100} is an apocalyptic number.

113003320112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113003320112100 is an abundant number, since it is smaller than the sum of its proper divisors (283307313758940).

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

113003320112100 is a wasteful number, since it uses less digits than its factorization.

113003320112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804825627 (or 3804825614 counting only the distinct ones).

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

Adding to 113003320112100 its reverse (1211023300311), we get a palindrome (114214343412411).

The spelling of 113003320112100 in words is "one hundred thirteen trillion, three billion, three hundred twenty million, one hundred twelve thousand, one hundred".