213022311330013 has 2 divisors, whose sum is σ = 213022311330014. Its totient is φ = 213022311330012.

The previous prime is 213022311329957. The next prime is 213022311330083. The reversal of 213022311330013 is 310033113220312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171844255487844 + 41178055842169 = 13108938^2 + 6417013^2 .

It is a cyclic number.

It is not a de Polignac number, because 213022311330013 - 2³⁷ = 212884872376541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213022311330013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213022311330083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106511155665006 + 106511155665007.

It is an arithmetic number, because the mean of its divisors is an integer number (106511155665007).

Almost surely, 2^{213022311330013} is an apocalyptic number.

It is an amenable number.

213022311330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213022311330013 is an equidigital number, since it uses as much as digits as its factorization.

213022311330013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 213022311330013 its reverse (310033113220312), we get a palindrome (523055424550325).

The spelling of 213022311330013 in words is "two hundred thirteen trillion, twenty-two billion, three hundred eleven million, three hundred thirty thousand, thirteen".