113322002100 has 288 divisors, whose sum is σ = 352869081600. Its totient is φ = 27992563200.

The previous prime is 113322002093. The next prime is 113322002191. The reversal of 113322002100 is 1200223311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113322002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70958502 + ... + 70960098.

Almost surely, 2^113322002100 is an apocalyptic number.

113322002100 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 113322002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176434540800).

113322002100 is an abundant number, since it is smaller than the sum of its proper divisors (239547079500).

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

113322002100 is a wasteful number, since it uses less digits than its factorization.

113322002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113322002100 its reverse (1200223311), we get a palindrome (114522225411).

The spelling of 113322002100 in words is "one hundred thirteen billion, three hundred twenty-two million, two thousand, one hundred".