9091000013 has 2 divisors, whose sum is σ = 9091000014. Its totient is φ = 9091000012.

The previous prime is 9090999961. The next prime is 9091000021. The reversal of 9091000013 is 3100001909.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8731594249 + 359405764 = 93443^2 + 18958^2 .

It is a cyclic number.

It is not a de Polignac number, because 9091000013 - 2⁶ = 9090999949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9091000613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4545500006 + 4545500007.

It is an arithmetic number, because the mean of its divisors is an integer number (4545500007).

Almost surely, 2^9091000013 is an apocalyptic number.

It is an amenable number.

9091000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9091000013 is an equidigital number, since it uses as much as digits as its factorization.

9091000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 23.

The square root of 9091000013 is about 95346.7357228343. The cubic root of 9091000013 is about 2087.0709802749.

The spelling of 9091000013 in words is "nine billion, ninety-one million, thirteen", and thus it is an aban number and an uban number.