13004540330213 has 16 divisors (see below), whose sum is σ = 13468770996912. Its totient is φ = 12547799040000.

The previous prime is 13004540330143. The next prime is 13004540330219. The reversal of 13004540330213 is 31203304540031.

13004540330213 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 8 ways, for example, as 9015564723649 + 3988975606564 = 3002593^2 + 1997242^2 .

It is a cyclic number.

It is not a de Polignac number, because 13004540330213 - 2³⁶ = 12935820853477 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 (13004540330219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908588 + ... + 5180213.

It is an arithmetic number, because the mean of its divisors is an integer number (841798187307).

Almost surely, 2^{13004540330213} is an apocalyptic number.

It is an amenable number.

13004540330213 is a deficient number, since it is larger than the sum of its proper divisors (464230666699).

13004540330213 is a wasteful number, since it uses less digits than its factorization.

13004540330213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089416.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 13004540330213 its reverse (31203304540031), we get a palindrome (44207844870244).

The spelling of 13004540330213 in words is "thirteen trillion, four billion, five hundred forty million, three hundred thirty thousand, two hundred thirteen".