13001233009 has 2 divisors, whose sum is σ = 13001233010. Its totient is φ = 13001233008.

The previous prime is 13001232997. The next prime is 13001233033. The reversal of 13001233009 is 90033210031.

13001233009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6704334400 + 6296898609 = 81880^2 + 79353^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001233009 - 2³³ = 4411298417 is a prime.

It is a super-3 number, since 3×13001233009³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (13001233039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500616504 + 6500616505.

It is an arithmetic number, because the mean of its divisors is an integer number (6500616505).

Almost surely, 2^13001233009 is an apocalyptic number.

It is an amenable number.

13001233009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001233009 is an equidigital number, since it uses as much as digits as its factorization.

13001233009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 13001233009 in words is "thirteen billion, one million, two hundred thirty-three thousand, nine".