200010000120013 has 2 divisors, whose sum is σ = 200010000120014. Its totient is φ = 200010000120012.

The previous prime is 200010000119933. The next prime is 200010000120037. The reversal of 200010000120013 is 310021000010002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153158891044644 + 46851109075369 = 12375738^2 + 6844787^2 .

It is a cyclic number.

It is not a de Polignac number, because 200010000120013 - 2¹³ = 200010000111821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200010000120613) 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, 100005000060006 + 100005000060007.

It is an arithmetic number, because the mean of its divisors is an integer number (100005000060007).

Almost surely, 2^{200010000120013} is an apocalyptic number.

It is an amenable number.

200010000120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

200010000120013 is an equidigital number, since it uses as much as digits as its factorization.

200010000120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 200010000120013 its reverse (310021000010002), we get a palindrome (510031000130015).

The spelling of 200010000120013 in words is "two hundred trillion, ten billion, one hundred twenty thousand, thirteen".