213130323013 has 2 divisors, whose sum is σ = 213130323014. Its totient is φ = 213130323012.

The previous prime is 213130322987. The next prime is 213130323079. The reversal of 213130323013 is 310323031312.

213130323013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211054791649 + 2075531364 = 459407^2 + 45558^2 .

It is a cyclic number.

It is not a de Polignac number, because 213130323013 - 2¹⁷ = 213130191941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213130323313) 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 as a sum of consecutive naturals, namely, 106565161506 + 106565161507.

It is an arithmetic number, because the mean of its divisors is an integer number (106565161507).

Almost surely, 2^213130323013 is an apocalyptic number.

It is an amenable number.

213130323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213130323013 is an equidigital number, since it uses as much as digits as its factorization.

213130323013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213130323013 its reverse (310323031312), we get a palindrome (523453354325).

The spelling of 213130323013 in words is "two hundred thirteen billion, one hundred thirty million, three hundred twenty-three thousand, thirteen".