213101044324013 has 2 divisors, whose sum is σ = 213101044324014. Its totient is φ = 213101044324012.

The previous prime is 213101044323911. The next prime is 213101044324019. The reversal of 213101044324013 is 310423440101312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122782289234089 + 90318755089924 = 11080717^2 + 9503618^2 .

It is a cyclic number.

It is not a de Polignac number, because 213101044324013 - 2¹⁸ = 213101044061869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213101044324019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106550522162006 + 106550522162007.

It is an arithmetic number, because the mean of its divisors is an integer number (106550522162007).

Almost surely, 2^{213101044324013} is an apocalyptic number.

It is an amenable number.

213101044324013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213101044324013 is an equidigital number, since it uses as much as digits as its factorization.

213101044324013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 213101044324013 its reverse (310423440101312), we get a palindrome (523524484425325).

The spelling of 213101044324013 in words is "two hundred thirteen trillion, one hundred one billion, forty-four million, three hundred twenty-four thousand, thirteen".