113132002100 has 288 divisors, whose sum is σ = 293532046080. Its totient is φ = 37444239360.

The previous prime is 113132002097. The next prime is 113132002121. The reversal of 113132002100 is 1200231311.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55104674 + ... + 55106726.

Almost surely, 2^113132002100 is an apocalyptic number.

113132002100 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 113132002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146766023040).

113132002100 is an abundant number, since it is smaller than the sum of its proper divisors (180400043980).

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

113132002100 is a wasteful number, since it uses less digits than its factorization.

113132002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2212 counting only the distinct ones).

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

Adding to 113132002100 its reverse (1200231311), we get a palindrome (114332233411).

The spelling of 113132002100 in words is "one hundred thirteen billion, one hundred thirty-two million, two thousand, one hundred".