2000210221013 has 2 divisors, whose sum is σ = 2000210221014. Its totient is φ = 2000210221012.

The previous prime is 2000210221001. The next prime is 2000210221043. The reversal of 2000210221013 is 3101220120002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1996337274724 + 3872946289 = 1412918^2 + 62233^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000210221013 - 2⁴ = 2000210220997 is a prime.

It is a super-3 number, since 3×2000210221013³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000210221043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000105110506 + 1000105110507.

It is an arithmetic number, because the mean of its divisors is an integer number (1000105110507).

Almost surely, 2^{2000210221013} is an apocalyptic number.

It is an amenable number.

2000210221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000210221013 is an equidigital number, since it uses as much as digits as its factorization.

2000210221013 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 2000210221013 its reverse (3101220120002), we get a palindrome (5101430341015).

The spelling of 2000210221013 in words is "two trillion, two hundred ten million, two hundred twenty-one thousand, thirteen".