13187813 has 2 divisors, whose sum is σ = 13187814. Its totient is φ = 13187812.

The previous prime is 13187789. The next prime is 13187833. The reversal of 13187813 is 31878131.

13187813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9972964 + 3214849 = 3158^2 + 1793^2 .

It is a cyclic number.

It is not a de Polignac number, because 13187813 - 2⁶ = 13187749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13187813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13187833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6593906 + 6593907.

It is an arithmetic number, because the mean of its divisors is an integer number (6593907).

Almost surely, 2^13187813 is an apocalyptic number.

It is an amenable number.

13187813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13187813 is an equidigital number, since it uses as much as digits as its factorization.

13187813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 32.

The square root of 13187813 is about 3631.5028569450. The cubic root of 13187813 is about 236.2603955748.

The spelling of 13187813 in words is "thirteen million, one hundred eighty-seven thousand, eight hundred thirteen".