13001000001 has 48 divisors (see below), whose sum is σ = 19582281600. Its totient is φ = 7662124800.

The previous prime is 13000999981. The next prime is 13001000009. The reversal of 13001000001 is 10000010031.

It is not a de Polignac number, because 13001000001 - 2⁷ = 13000999873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13001000009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5192916 + ... + 5195418.

It is an arithmetic number, because the mean of its divisors is an integer number (407964200).

Almost surely, 2^13001000001 is an apocalyptic number.

13001000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13001000001 is a deficient number, since it is larger than the sum of its proper divisors (6581281599).

13001000001 is a wasteful number, since it uses less digits than its factorization.

13001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 13001000001 its reverse (10000010031), we get a palindrome (23001010032).

The spelling of 13001000001 in words is "thirteen billion, one million, one", and thus it is an aban number and an uban number.