2110000013 has 24 divisors (see below), whose sum is σ = 2448895680. Its totient is φ = 1799557760.

The previous prime is 2110000003. The next prime is 2110000031. The reversal of 2110000013 is 3100000112.

It is not a de Polignac number, because 2110000013 - 2⁸ = 2109999757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110000003) 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, 709193 + ... + 712161.

It is an arithmetic number, because the mean of its divisors is an integer number (102037320).

Almost surely, 2^2110000013 is an apocalyptic number.

2110000013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2110000013 is a deficient number, since it is larger than the sum of its proper divisors (338895667).

2110000013 is a wasteful number, since it uses less digits than its factorization.

2110000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2110000013 is about 45934.7364529285. The cubic root of 2110000013 is about 1282.6086150185.

Adding to 2110000013 its reverse (3100000112), we get a palindrome (5210000125).

Subtracting 2110000013 from its reverse (3100000112), we obtain a palindrome (990000099).

The spelling of 2110000013 in words is "two billion, one hundred ten million, thirteen", and thus it is an aban number.