113312311102100 has 144 divisors (see below), whose sum is σ = 269536879535616. Its totient is φ = 41005474608000.

The previous prime is 113312311102091. The next prime is 113312311102129. The reversal of 113312311102100 is 1201113213311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4795870487 + ... + 4795894113.

It is an arithmetic number, because the mean of its divisors is an integer number (1871783885664).

Almost surely, 2^{113312311102100} is an apocalyptic number.

113312311102100 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 113312311102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134768439767808).

113312311102100 is an abundant number, since it is smaller than the sum of its proper divisors (156224568433516).

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

113312311102100 is a wasteful number, since it uses less digits than its factorization.

113312311102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44526 (or 44519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 113312311102100 its reverse (1201113213311), we get a palindrome (114513424315411).

The spelling of 113312311102100 in words is "one hundred thirteen trillion, three hundred twelve billion, three hundred eleven million, one hundred two thousand, one hundred".