13113333 has 20 divisors (see below), whose sum is σ = 19802860. Its totient is φ = 8646912.

The previous prime is 13113319. The next prime is 13113337. The reversal of 13113333 is 33331131.

It can be written as a sum of positive squares in 2 ways, for example, as 6441444 + 6671889 = 2538^2 + 2583^2 .

It is not a de Polignac number, because 13113333 - 2⁵ = 13113301 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

13113333 is a modest number, since divided by 3333 gives 1311 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113337) 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 19 ways as a sum of consecutive naturals, for example, 7023 + ... + 8691.

It is an arithmetic number, because the mean of its divisors is an integer number (990143).

Almost surely, 2^13113333 is an apocalyptic number.

It is an amenable number.

13113333 is a deficient number, since it is larger than the sum of its proper divisors (6689527).

13113333 is an equidigital number, since it uses as much as digits as its factorization.

13113333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 13113333 is about 3621.2336295798. The cubic root of 13113333 is about 235.8147845362.

Adding to 13113333 its reverse (33331131), we get a palindrome (46444464).

The spelling of 13113333 in words is "thirteen million, one hundred thirteen thousand, three hundred thirty-three".