9001020013 has 2 divisors, whose sum is σ = 9001020014. Its totient is φ = 9001020012.

The previous prime is 9001020011. The next prime is 9001020053. The reversal of 9001020013 is 3100201009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4956441604 + 4044578409 = 70402^2 + 63597^2 .

It is an emirp because it is prime and its reverse (3100201009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9001020013 - 2¹ = 9001020011 is a prime.

It is a super-2 number, since 2×9001020013² (a number of 21 digits) contains 22 as substring.

Together with 9001020011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9001020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500510006 + 4500510007.

It is an arithmetic number, because the mean of its divisors is an integer number (4500510007).

Almost surely, 2^9001020013 is an apocalyptic number.

It is an amenable number.

9001020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9001020013 is an equidigital number, since it uses as much as digits as its factorization.

9001020013 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 square root of 9001020013 is about 94873.7055932781. The cubic root of 9001020013 is about 2080.1624020294.

The spelling of 9001020013 in words is "nine billion, one million, twenty thousand, thirteen".