13002013001 has 2 divisors, whose sum is σ = 13002013002. Its totient is φ = 13002013000.

The previous prime is 13002012983. The next prime is 13002013021. The reversal of 13002013001 is 10031020031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12868633600 + 133379401 = 113440^2 + 11549^2 .

It is a cyclic number.

It is not a de Polignac number, because 13002013001 - 2³⁰ = 11928271177 is a prime.

It is not a weakly prime, because it can be changed into another prime (13002013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501006500 + 6501006501.

It is an arithmetic number, because the mean of its divisors is an integer number (6501006501).

Almost surely, 2^13002013001 is an apocalyptic number.

It is an amenable number.

13002013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002013001 is an equidigital number, since it uses as much as digits as its factorization.

13002013001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13002013001 its reverse (10031020031), we get a palindrome (23033033032).

The spelling of 13002013001 in words is "thirteen billion, two million, thirteen thousand, one".