2100110013 has 24 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 1317238560.

The previous prime is 2100109997. The next prime is 2100110039. The reversal of 2100110013 is 3100110012.

It is not a de Polignac number, because 2100110013 - 2⁴ = 2100109997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100109977 and 2100110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100110053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70533 + ... + 95786.

It is an arithmetic number, because the mean of its divisors is an integer number (134053920).

Almost surely, 2^2100110013 is an apocalyptic number.

2100110013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2100110013 is a deficient number, since it is larger than the sum of its proper divisors (1117184067).

2100110013 is a wasteful number, since it uses less digits than its factorization.

2100110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166409 (or 166406 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2100110013 is about 45826.9572740761. The cubic root of 2100110013 is about 1280.6015265582.

Adding to 2100110013 its reverse (3100110012), we get a palindrome (5200220025).

Subtracting 2100110013 from its reverse (3100110012), we obtain a palindrome (999999999).

The spelling of 2100110013 in words is "two billion, one hundred million, one hundred ten thousand, thirteen".