13323233313 has 24 divisors (see below), whose sum is σ = 20731761960. Its totient is φ = 8196249600.

The previous prime is 13323233291. The next prime is 13323233359. The reversal of 13323233313 is 31333232331.

13323233313 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 323 + 331 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312865344 + 13010367969 = 17688^2 + 114063^2 .

It is not a de Polignac number, because 13323233313 - 2⁶ = 13323233249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13323233383) 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 23 ways as a sum of consecutive naturals, for example, 379713 + ... + 413313.

It is an arithmetic number, because the mean of its divisors is an integer number (863823415).

Almost surely, 2^13323233313 is an apocalyptic number.

13323233313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13323233313 is a deficient number, since it is larger than the sum of its proper divisors (7408528647).

13323233313 is a wasteful number, since it uses less digits than its factorization.

13323233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37009 (or 37006 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 13323233313 its reverse (31333232331), we get a palindrome (44656465644).

The spelling of 13323233313 in words is "thirteen billion, three hundred twenty-three million, two hundred thirty-three thousand, three hundred thirteen".