13213000300013 has 4 divisors (see below), whose sum is σ = 13213628823168. Its totient is φ = 13212371776860.

The previous prime is 13213000300001. The next prime is 13213000300139. The reversal of 13213000300013 is 31000300031231.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13213000300013 - 2⁴ = 13213000299997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13213000299964 and 13213000300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213000360013) 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 3 ways as a sum of consecutive naturals, for example, 314230043 + ... + 314272088.

It is an arithmetic number, because the mean of its divisors is an integer number (3303407205792).

Almost surely, 2^{13213000300013} is an apocalyptic number.

It is an amenable number.

13213000300013 is a deficient number, since it is larger than the sum of its proper divisors (628523155).

13213000300013 is an equidigital number, since it uses as much as digits as its factorization.

13213000300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628523154.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13213000300013 its reverse (31000300031231), we get a palindrome (44213300331244).

The spelling of 13213000300013 in words is "thirteen trillion, two hundred thirteen billion, three hundred thousand, thirteen".