9000021000013 has 2 divisors, whose sum is σ = 9000021000014. Its totient is φ = 9000021000012.

The previous prime is 9000021000011. The next prime is 9000021000031. The reversal of 9000021000013 is 3100001200009.

Together with next prime (9000021000031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8188828961769 + 811192038244 = 2861613^2 + 900662^2 .

It is a cyclic number.

It is not a de Polignac number, because 9000021000013 - 2¹ = 9000021000011 is a prime.

Together with 9000021000011, it forms a pair of twin primes.

It is the 3000004-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9000021000011) by changing a digit.

It is a nontrivial repunit in base 3000003.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500010500006 + 4500010500007.

It is an arithmetic number, because the mean of its divisors is an integer number (4500010500007).

Almost surely, 2^{9000021000013} is an apocalyptic number.

It is an amenable number.

9000021000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000021000013 is an equidigital number, since it uses as much as digits as its factorization.

9000021000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The spelling of 9000021000013 in words is "nine trillion, twenty-one million, thirteen", and thus it is an aban number and an uban number.