13188313 has 4 divisors (see below), whose sum is σ = 13195728. Its totient is φ = 13180900.

The previous prime is 13188283. The next prime is 13188323. The reversal of 13188313 is 31388131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31388131 = 457 ⋅68683.

It is a cyclic number.

It is not a de Polignac number, because 13188313 - 2⁵ = 13188281 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13188323) 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 in 3 ways as a sum of consecutive naturals, for example, 738 + ... + 5188.

It is an arithmetic number, because the mean of its divisors is an integer number (3298932).

Almost surely, 2^13188313 is an apocalyptic number.

It is an amenable number.

13188313 is a deficient number, since it is larger than the sum of its proper divisors (7415).

13188313 is an equidigital number, since it uses as much as digits as its factorization.

13188313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414.

The product of its digits is 1728, while the sum is 28.

The square root of 13188313 is about 3631.5716983147. The cubic root of 13188313 is about 236.2633813795.

The spelling of 13188313 in words is "thirteen million, one hundred eighty-eight thousand, three hundred thirteen".