13388331 has 32 divisors (see below), whose sum is σ = 20782080. Its totient is φ = 7581600.

The previous prime is 13388329. The next prime is 13388357.

13388331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13388331 - 2¹ = 13388329 is a prime.

It is a super-2 number, since 2×13388331² = 358494813931122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (13388321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82056 + ... + 82218.

It is an arithmetic number, because the mean of its divisors is an integer number (649440).

Almost surely, 2^13388331 is an apocalyptic number.

13388331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13388331 is a deficient number, since it is larger than the sum of its proper divisors (7393749).

13388331 is a wasteful number, since it uses less digits than its factorization.

13388331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its digits is 5184, while the sum is 30.

The square root of 13388331 is about 3659.0068324615. The cubic root of 13388331 is about 237.4518077656.

It can be divided in two parts, 1338 and 8331, that added together give a palindrome (9669).

The spelling of 13388331 in words is "thirteen million, three hundred eighty-eight thousand, three hundred thirty-one".