13302001311001 has 96 divisors (see below), whose sum is σ = 16201856805120. Its totient is φ = 10859680026624.

The previous prime is 13302001310953. The next prime is 13302001311017. The reversal of 13302001311001 is 10011310020331.

It is not a de Polignac number, because 13302001311001 - 2¹⁵ = 13302001278233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13302001311041) 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 95 ways as a sum of consecutive naturals, for example, 8565357441 + ... + 8565358993.

It is an arithmetic number, because the mean of its divisors is an integer number (168769341720).

Almost surely, 2^{13302001311001} is an apocalyptic number.

It is an amenable number.

13302001311001 is a deficient number, since it is larger than the sum of its proper divisors (2899855494119).

13302001311001 is an frugal number, since it uses more digits than its factorization.

13302001311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13302001311001 its reverse (10011310020331), we get a palindrome (23313311331332).

The spelling of 13302001311001 in words is "thirteen trillion, three hundred two billion, one million, three hundred eleven thousand, one".