2000013000221 has 2 divisors, whose sum is σ = 2000013000222. Its totient is φ = 2000013000220.

The previous prime is 2000013000173. The next prime is 2000013000247. The reversal of 2000013000221 is 1220003100002.

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., 1450952748025 + 549060252196 = 1204555^2 + 740986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000013000221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000013000421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000006500110 + 1000006500111.

It is an arithmetic number, because the mean of its divisors is an integer number (1000006500111).

Almost surely, 2^{2000013000221} is an apocalyptic number.

It is an amenable number.

2000013000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000013000221 is an equidigital number, since it uses as much as digits as its factorization.

2000013000221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2000013000221 its reverse (1220003100002), we get a palindrome (3220016100223).

The spelling of 2000013000221 in words is "two trillion, thirteen million, two hundred twenty-one", and thus it is an aban number.