13786313 has 2 divisors, whose sum is σ = 13786314. Its totient is φ = 13786312.

The previous prime is 13786277. The next prime is 13786321. The reversal of 13786313 is 31368731.

13786313 is digitally balanced in base 2, 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., 11235904 + 2550409 = 3352^2 + 1597^2 .

It is a cyclic number.

It is not a de Polignac number, because 13786313 - 2⁸ = 13786057 is a prime.

It is a super-2 number, since 2×13786313² = 380124852267938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13786313.

It is not a weakly prime, because it can be changed into another prime (13786363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6893156 + 6893157.

It is an arithmetic number, because the mean of its divisors is an integer number (6893157).

Almost surely, 2^13786313 is an apocalyptic number.

It is an amenable number.

13786313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13786313 is an equidigital number, since it uses as much as digits as its factorization.

13786313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 13786313 is about 3712.9924589204. The cubic root of 13786313 is about 239.7817054432.

The spelling of 13786313 in words is "thirteen million, seven hundred eighty-six thousand, three hundred thirteen".