2100113213 has 16 divisors (see below), whose sum is σ = 2372146560. Its totient is φ = 1841716800.

The previous prime is 2100113209. The next prime is 2100113261. The reversal of 2100113213 is 3123110012.

It is not a de Polignac number, because 2100113213 - 2² = 2100113209 is a prime.

It is a super-4 number, since 4×2100113213⁴ (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100113203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479831 + ... + 484187.

It is an arithmetic number, because the mean of its divisors is an integer number (148259160).

Almost surely, 2^2100113213 is an apocalyptic number.

It is an amenable number.

2100113213 is a deficient number, since it is larger than the sum of its proper divisors (272033347).

2100113213 is a wasteful number, since it uses less digits than its factorization.

2100113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908.

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

The square root of 2100113213 is about 45826.9921880108. The cubic root of 2100113213 is about 1280.6021769881.

Adding to 2100113213 its reverse (3123110012), we get a palindrome (5223223225).

The spelling of 2100113213 in words is "two billion, one hundred million, one hundred thirteen thousand, two hundred thirteen".