13189 has 6 divisors (see below), whose sum is σ = 14630. Its totient is φ = 11880.

The previous prime is 13187. The next prime is 13217. The reversal of 13189 is 98131.

13189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 1089 = 110^2 + 33^2 .

It is not a de Polignac number, because 13189 - 2¹ = 13187 is a prime.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13183) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 67 + ... + 175.

2¹³¹⁸⁹ is an apocalyptic number.

It is an amenable number.

13189 is a deficient number, since it is larger than the sum of its proper divisors (1441).

13189 is a wasteful number, since it uses less digits than its factorization.

13189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

The square root of 13189 is about 114.8433715980. The cubic root of 13189 is about 23.6267483752.

It can be divided in two parts, 13 and 189, that added together give a palindrome (202).

The spelling of 13189 in words is "thirteen thousand, one hundred eighty-nine".