13038 has 16 divisors (see below), whose sum is σ = 27216. Its totient is φ = 4160.

The previous prime is 13037. The next prime is 13043. The reversal of 13038 is 83031.

It is a nialpdrome in base 11 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (1701).

2¹³⁰³⁸ is an apocalyptic number.

13038 is an abundant number, since it is smaller than the sum of its proper divisors (14178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

13038 is a wasteful number, since it uses less digits than its factorization.

13038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13038 is about 114.1840619351. The cubic root of 13038 is about 23.5362350309.

Adding to 13038 its reverse (83031), we get a palindrome (96069).

The spelling of 13038 in words is "thirteen thousand, thirty-eight".