13286313 has 12 divisors (see below), whose sum is σ = 19293300. Its totient is φ = 8810496.

The previous prime is 13286311. The next prime is 13286323. The reversal of 13286313 is 31368231.

It is a happy number.

13286313 is a `hidden beast` number, since 1 + 3 + 28 + 631 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1671849 + 11614464 = 1293^2 + 3408^2 .

It is not a de Polignac number, because 13286313 - 2¹ = 13286311 is a prime.

It is a super-2 number, since 2×13286313² = 353052226267938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13286311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2088 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (1607775).

Almost surely, 2^13286313 is an apocalyptic number.

It is an amenable number.

13286313 is a deficient number, since it is larger than the sum of its proper divisors (6006987).

13286313 is a wasteful number, since it uses less digits than its factorization.

13286313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7848 (or 7845 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13286313 is about 3645.0395059587. The cubic root of 13286313 is about 236.8471481421.

It can be divided in two parts, 1328631 and 3, that multiplied together give a palindrome (3985893).

The spelling of 13286313 in words is "thirteen million, two hundred eighty-six thousand, three hundred thirteen".