13213006213 has 32 divisors (see below), whose sum is σ = 15245770752. Its totient is φ = 11334153600.

The previous prime is 13213006211. The next prime is 13213006231. The reversal of 13213006213 is 31260031231.

13213006213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13213006213 - 2¹ = 13213006211 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 (13213006211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6135945 + ... + 6138097.

It is an arithmetic number, because the mean of its divisors is an integer number (476430336).

Almost surely, 2^13213006213 is an apocalyptic number.

It is an amenable number.

13213006213 is a deficient number, since it is larger than the sum of its proper divisors (2032764539).

13213006213 is a wasteful number, since it uses less digits than its factorization.

13213006213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13213006213 its reverse (31260031231), we get a palindrome (44473037444).

The spelling of 13213006213 in words is "thirteen billion, two hundred thirteen million, six thousand, two hundred thirteen".