200210212000013 has 2 divisors, whose sum is σ = 200210212000014. Its totient is φ = 200210212000012.

The previous prime is 200210211999947. The next prime is 200210212000039. The reversal of 200210212000013 is 310000212012002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184082293342249 + 16127918657764 = 13567693^2 + 4015958^2 .

It is a cyclic number.

It is not a de Polignac number, because 200210212000013 - 2¹⁴ = 200210211983629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200210212000613) 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, 100105106000006 + 100105106000007.

It is an arithmetic number, because the mean of its divisors is an integer number (100105106000007).

Almost surely, 2^{200210212000013} is an apocalyptic number.

It is an amenable number.

200210212000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

200210212000013 is an equidigital number, since it uses as much as digits as its factorization.

200210212000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 200210212000013 its reverse (310000212012002), we get a palindrome (510210424012015).

The spelling of 200210212000013 in words is "two hundred trillion, two hundred ten billion, two hundred twelve million, thirteen", and thus it is an aban number.