212013330013 has 2 divisors, whose sum is σ = 212013330014. Its totient is φ = 212013330012.

The previous prime is 212013329993. The next prime is 212013330029. The reversal of 212013330013 is 310033310212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175684207609 + 36329122404 = 419147^2 + 190602^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013330013 - 2⁹ = 212013329501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212013330913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006665006 + 106006665007.

It is an arithmetic number, because the mean of its divisors is an integer number (106006665007).

Almost surely, 2^212013330013 is an apocalyptic number.

It is an amenable number.

212013330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212013330013 is an equidigital number, since it uses as much as digits as its factorization.

212013330013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 212013330013 its reverse (310033310212), we get a palindrome (522046640225).

The spelling of 212013330013 in words is "two hundred twelve billion, thirteen million, three hundred thirty thousand, thirteen".