113032002100 has 144 divisors (see below), whose sum is σ = 266467694976. Its totient is φ = 41448960000.

The previous prime is 113032002077. The next prime is 113032002103. The reversal of 113032002100 is 1200230311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73253929 + ... + 73255471.

It is an arithmetic number, because the mean of its divisors is an integer number (1850470104).

Almost surely, 2^113032002100 is an apocalyptic number.

113032002100 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 113032002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133233847488).

113032002100 is an abundant number, since it is smaller than the sum of its proper divisors (153435692876).

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

113032002100 is a wasteful number, since it uses less digits than its factorization.

113032002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 113032002100 its reverse (1200230311), we get a palindrome (114232232411).

The spelling of 113032002100 in words is "one hundred thirteen billion, thirty-two million, two thousand, one hundred".