2102013 has 6 divisors (see below), whose sum is σ = 3036254. Its totient is φ = 1401336.

The previous prime is 2101961. The next prime is 2102021. The reversal of 2102013 is 3102012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1127844 + 974169 = 1062^2 + 987^2 .

It is not a de Polignac number, because 2102013 - 2⁹ = 2101501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233557 = 2102013 / (2 + 1 + 0 + 2 + 0 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101986 and 2102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116770 + ... + 116787.

2^2102013 is an apocalyptic number.

It is an amenable number.

2102013 is a deficient number, since it is larger than the sum of its proper divisors (934241).

2102013 is a wasteful number, since it uses less digits than its factorization.

2102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233563 (or 233560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2102013 is about 1449.8320592400. The cubic root of 2102013 is about 128.0988209849.

Adding to 2102013 its reverse (3102012), we get a palindrome (5204025).

Subtracting 2102013 from its reverse (3102012), we obtain a palindrome (999999).

The spelling of 2102013 in words is "two million, one hundred two thousand, thirteen".