138013 has 4 divisors (see below), whose sum is σ = 139840. Its totient is φ = 136188.

The previous prime is 138007. The next prime is 138041. The reversal of 138013 is 310831.

138013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a de Polignac number, because none of the positive numbers 2^k-138013 is a prime.

It is the 372-nd Hogben number.

It is a Duffinian number.

138013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138053) by changing a digit.

It is a nontrivial repunit in base 371.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 795 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (34960).

2¹³⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

138013 is a deficient number, since it is larger than the sum of its proper divisors (1827).

138013 is an equidigital number, since it uses as much as digits as its factorization.

138013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 138013 is about 371.5010094199. The cubic root of 138013 is about 51.6781151645.

Adding to 138013 its reverse (310831), we get a palindrome (448844).

The spelling of 138013 in words is "one hundred thirty-eight thousand, thirteen".