13187 has 2 divisors, whose sum is σ = 13188. Its totient is φ = 13186.

The previous prime is 13183. The next prime is 13217. The reversal of 13187 is 78131.

13187 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13187 - 2² = 13183 is a prime.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 6593 + 6594.

It is an arithmetic number, because the mean of its divisors is an integer number (6594).

2¹³¹⁸⁷ is an apocalyptic number.

13187 is a deficient number, since it is larger than the sum of its proper divisors (1).

13187 is an equidigital number, since it uses as much as digits as its factorization.

13187 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 20.

The square root of 13187 is about 114.8346637562. The cubic root of 13187 is about 23.6255540495.

The spelling of 13187 in words is "thirteen thousand, one hundred eighty-seven".