13000013001 has 16 divisors (see below), whose sum is σ = 19261281600. Its totient is φ = 8665773984.

The previous prime is 13000012981. The next prime is 13000013021. The reversal of 13000013001 is 10031000031.

13000013001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13000012981) and next prime (13000013021).

It is not a de Polignac number, because 13000013001 - 2¹⁴ = 12999996617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13000013021) 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 in 15 ways as a sum of consecutive naturals, for example, 331885 + ... + 368981.

It is an arithmetic number, because the mean of its divisors is an integer number (1203830100).

Almost surely, 2^13000013001 is an apocalyptic number.

It is an amenable number.

13000013001 is a deficient number, since it is larger than the sum of its proper divisors (6261268599).

13000013001 is a wasteful number, since it uses less digits than its factorization.

13000013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50085 (or 50079 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 13000013001 its reverse (10031000031), we get a palindrome (23031013032).

The spelling of 13000013001 in words is "thirteen billion, thirteen thousand, one".