2113113300100 has 144 divisors (see below), whose sum is σ = 5055355561536. Its totient is φ = 760281088000.

The previous prime is 2113113300097. The next prime is 2113113300119. The reversal of 2113113300100 is 10033113112.

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, 72949620 + ... + 72978580.

It is an arithmetic number, because the mean of its divisors is an integer number (35106635844).

Almost surely, 2^{2113113300100} is an apocalyptic number.

2113113300100 is a gapful number since it is divisible by the number (20) 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 2113113300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527677780768).

2113113300100 is an abundant number, since it is smaller than the sum of its proper divisors (2942242261436).

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

2113113300100 is a wasteful number, since it uses less digits than its factorization.

2113113300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29686 (or 29679 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2113113300100 its reverse (10033113112), we get a palindrome (2123146413212).

The spelling of 2113113300100 in words is "two trillion, one hundred thirteen billion, one hundred thirteen million, three hundred thousand, one hundred".