113003122100 has 108 divisors (see below), whose sum is σ = 269812022592. Its totient is φ = 41049940800.

The previous prime is 113003122081. The next prime is 113003122103. The reversal of 113003122100 is 1221300311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113003122103) 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 35 ways as a sum of consecutive naturals, for example, 13342067 + ... + 13350533.

Almost surely, 2^113003122100 is an apocalyptic number.

113003122100 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 113003122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134906011296).

113003122100 is an abundant number, since it is smaller than the sum of its proper divisors (156808900492).

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

113003122100 is a wasteful number, since it uses less digits than its factorization.

113003122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113003122100 its reverse (1221300311), we get a palindrome (114224422411).

The spelling of 113003122100 in words is "one hundred thirteen billion, three million, one hundred twenty-two thousand, one hundred".