13138 has 4 divisors (see below), whose sum is σ = 19710. Its totient is φ = 6568.

The previous prime is 13127. The next prime is 13147. The reversal of 13138 is 83131.

13138 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 an emirpimes, since its reverse is a distinct semiprime: 83131 = 59 ⋅1409.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 4489 = 93^2 + 67^2 .

It is a nialpdrome in base 11.

It is an unprimeable number.

13138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3283 + ... + 3286.

2¹³¹³⁸ is an apocalyptic number.

13138 is a deficient number, since it is larger than the sum of its proper divisors (6572).

13138 is an equidigital number, since it uses as much as digits as its factorization.

13138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571.

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

The square root of 13138 is about 114.6211149832. The cubic root of 13138 is about 23.5962552710.

Adding to 13138 its reverse (83131), we get a palindrome (96269).

It can be divided in two parts, 131 and 38, that added together give a square (169 = 13²).

The spelling of 13138 in words is "thirteen thousand, one hundred thirty-eight".