10000013321 has 2 divisors, whose sum is σ = 10000013322. Its totient is φ = 10000013320.

The previous prime is 10000013239. The next prime is 10000013323. The reversal of 10000013321 is 12331000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5559790096 + 4440223225 = 74564^2 + 66635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000013321 is a prime.

It is a Sophie Germain prime.

Together with 10000013323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10000013323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000006660 + 5000006661.

It is an arithmetic number, because the mean of its divisors is an integer number (5000006661).

Almost surely, 2^10000013321 is an apocalyptic number.

It is an amenable number.

10000013321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000013321 is an equidigital number, since it uses as much as digits as its factorization.

10000013321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10000013321 its reverse (12331000001), we get a palindrome (22331013322).

The spelling of 10000013321 in words is "ten billion, thirteen thousand, three hundred twenty-one".