13002330112001 has 24 divisors (see below), whose sum is σ = 13196621168640. Its totient is φ = 12809866620096.

The previous prime is 13002330111959. The next prime is 13002330112033. The reversal of 13002330112001 is 10021103320031.

It is not a de Polignac number, because 13002330112001 - 2¹⁸ = 13002329849857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002330112501) 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 23 ways as a sum of consecutive naturals, for example, 5807203040 + ... + 5807205278.

It is an arithmetic number, because the mean of its divisors is an integer number (549859215360).

Almost surely, 2^{13002330112001} is an apocalyptic number.

It is an amenable number.

13002330112001 is a deficient number, since it is larger than the sum of its proper divisors (194291056639).

13002330112001 is an equidigital number, since it uses as much as digits as its factorization.

13002330112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13002330112001 its reverse (10021103320031), we get a palindrome (23023433432032).

The spelling of 13002330112001 in words is "thirteen trillion, two billion, three hundred thirty million, one hundred twelve thousand, one".