2138013 has 12 divisors (see below), whose sum is σ = 3251040. Its totient is φ = 1350216.

The previous prime is 2137999. The next prime is 2138029. The reversal of 2138013 is 3108312.

It is not a de Polignac number, because 2138013 - 2⁵ = 2137981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6081 + ... + 6422.

It is an arithmetic number, because the mean of its divisors is an integer number (270920).

2^2138013 is an apocalyptic number.

It is an amenable number.

2138013 is a deficient number, since it is larger than the sum of its proper divisors (1113027).

2138013 is a wasteful number, since it uses less digits than its factorization.

2138013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12528 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2138013 is about 1462.1945834943. The cubic root of 2138013 is about 128.8259777148.

Subtracting 2138013 from its reverse (3108312), we obtain a cube (970299 = 99³).

The spelling of 2138013 in words is "two million, one hundred thirty-eight thousand, thirteen".