2100013 has 4 divisors (see below), whose sum is σ = 2210560. Its totient is φ = 1989468.

The previous prime is 2100011. The next prime is 2100031. The reversal of 2100013 is 3100012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100013 - 2¹ = 2100011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2099969 and 2100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55245 + ... + 55282.

It is an arithmetic number, because the mean of its divisors is an integer number (552640).

2^2100013 is an apocalyptic number.

It is an amenable number.

2100013 is a deficient number, since it is larger than the sum of its proper divisors (110547).

2100013 is a wasteful number, since it uses less digits than its factorization.

2100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110546.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2100013 is about 1449.1421600381. The cubic root of 2100013 is about 128.0581807447.

Adding to 2100013 its reverse (3100012), we get a palindrome (5200025).

Subtracting 2100013 from its reverse (3100012), we obtain a palindrome (999999).

It can be divided in two parts, 210001 and 3, that multiplied together give a triangular number (630003 = T₁₁₂₂).

The spelling of 2100013 in words is "two million, one hundred thousand, thirteen".