2113312100 has 18 divisors (see below), whose sum is σ = 4585887474. Its totient is φ = 845324800.

The previous prime is 2113312081. The next prime is 2113312111. The reversal of 2113312100 is 12133112.

It can be written as a sum of positive squares in 3 ways, for example, as 28111204 + 2085200896 = 5302^2 + 45664^2 .

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 5 ways as a sum of consecutive naturals, for example, 10566461 + ... + 10566660.

Almost surely, 2^2113312100 is an apocalyptic number.

2113312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113312100 is an abundant number, since it is smaller than the sum of its proper divisors (2472575374).

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

2113312100 is a wasteful number, since it uses less digits than its factorization.

2113312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133135 (or 21133128 counting only the distinct ones).

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

The square root of 2113312100 is about 45970.7744115759. The cubic root of 2113312100 is about 1283.2793718058.

Adding to 2113312100 its reverse (12133112), we get a palindrome (2125445212).

It can be divided in two parts, 21133 and 12100, that added together give a palindrome (33233).

The spelling of 2113312100 in words is "two billion, one hundred thirteen million, three hundred twelve thousand, one hundred".