13223300013 has 24 divisors (see below), whose sum is σ = 23813390016. Its totient is φ = 6869246400.

The previous prime is 13223299997. The next prime is 13223300053. The reversal of 13223300013 is 31000332231.

13223300013 is a `hidden beast` number, since 1 + 322 + 330 + 0 + 0 + 13 = 666.

13223300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13223300013 - 2⁴ = 13223299997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223300053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9539928 + ... + 9541313.

It is an arithmetic number, because the mean of its divisors is an integer number (992224584).

Almost surely, 2^13223300013 is an apocalyptic number.

It is an amenable number.

13223300013 is a deficient number, since it is larger than the sum of its proper divisors (10590090003).

13223300013 is a wasteful number, since it uses less digits than its factorization.

13223300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19081265 (or 19081262 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13223300013 its reverse (31000332231), we get a palindrome (44223632244).

It can be divided in two parts, 13223 and 300013, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 13223300013 in words is "thirteen billion, two hundred twenty-three million, three hundred thousand, thirteen".