13321101001 has 32 divisors (see below), whose sum is σ = 15439155200. Its totient is φ = 11390829120.

The previous prime is 13321100971. The next prime is 13321101049. The reversal of 13321101001 is 10010112331.

It is a cyclic number.

It is not a de Polignac number, because 13321101001 - 2³³ = 4731166409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297416 + ... + 2303206.

It is an arithmetic number, because the mean of its divisors is an integer number (482473600).

Almost surely, 2^13321101001 is an apocalyptic number.

It is an amenable number.

13321101001 is a deficient number, since it is larger than the sum of its proper divisors (2118054199).

13321101001 is a wasteful number, since it uses less digits than its factorization.

13321101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13321101001 its reverse (10010112331), we get a palindrome (23331213332).

The spelling of 13321101001 in words is "thirteen billion, three hundred twenty-one million, one hundred one thousand, one".