13233200032013 has 32 divisors (see below), whose sum is σ = 15094285172736. Its totient is φ = 11508567542208.

The previous prime is 13233200031973. The next prime is 13233200032037. The reversal of 13233200032013 is 31023000233231.

It is a cyclic number.

It is not a de Polignac number, because 13233200032013 - 2⁸ = 13233200031757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13233200032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233200052013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229208756 + ... + 229266482.

It is an arithmetic number, because the mean of its divisors is an integer number (471696411648).

Almost surely, 2^{13233200032013} is an apocalyptic number.

13233200032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13233200032013 is a deficient number, since it is larger than the sum of its proper divisors (1861085140723).

13233200032013 is a wasteful number, since it uses less digits than its factorization.

13233200032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69273.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13233200032013 its reverse (31023000233231), we get a palindrome (44256200265244).

The spelling of 13233200032013 in words is "thirteen trillion, two hundred thirty-three billion, two hundred million, thirty-two thousand, thirteen".