13213030101013 has 24 divisors (see below), whose sum is σ = 13908737629248. Its totient is φ = 12545074112256.

The previous prime is 13213030100993. The next prime is 13213030101017. The reversal of 13213030101013 is 31010103031231.

It is a de Polignac number, because none of the positive numbers 2^k-13213030101013 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 (13213030101017) 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 23 ways as a sum of consecutive naturals, for example, 62470045 + ... + 62681197.

It is an arithmetic number, because the mean of its divisors is an integer number (579530734552).

Almost surely, 2^{13213030101013} is an apocalyptic number.

It is an amenable number.

13213030101013 is a deficient number, since it is larger than the sum of its proper divisors (695707528235).

13213030101013 is a wasteful number, since it uses less digits than its factorization.

13213030101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212333 (or 212296 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13213030101013 its reverse (31010103031231), we get a palindrome (44223133132244).

The spelling of 13213030101013 in words is "thirteen trillion, two hundred thirteen billion, thirty million, one hundred one thousand, thirteen".