13323233032013 has 8 divisors (see below), whose sum is σ = 13574944810008. Its totient is φ = 13071533477184.

The previous prime is 13323233031971. The next prime is 13323233032073. The reversal of 13323233032013 is 31023033232331.

13323233032013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3043758261769 + 10279474770244 = 1744637^2 + 3206162^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13323233032013 - 2¹⁴ = 13323233015629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323233032073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840170 + ... + 5229947.

It is an arithmetic number, because the mean of its divisors is an integer number (1696868101251).

Almost surely, 2^{13323233032013} is an apocalyptic number.

It is an amenable number.

13323233032013 is a deficient number, since it is larger than the sum of its proper divisors (251711777995).

13323233032013 is an equidigital number, since it uses as much as digits as its factorization.

13323233032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111583.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 13323233032013 its reverse (31023033232331), we get a palindrome (44346266264344).

The spelling of 13323233032013 in words is "thirteen trillion, three hundred twenty-three billion, two hundred thirty-three million, thirty-two thousand, thirteen".