13003313301001 has 32 divisors (see below), whose sum is σ = 14176350397440. Its totient is φ = 11886994171584.

The previous prime is 13003313300981. The next prime is 13003313301019. The reversal of 13003313301001 is 10010331330031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13003313301001 - 2⁵ = 13003313300969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13003313301001.

It is not an unprimeable number, because it can be changed into a prime (13003313301101) 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, 21947211 + ... + 22531903.

It is an arithmetic number, because the mean of its divisors is an integer number (443010949920).

Almost surely, 2^{13003313301001} is an apocalyptic number.

It is an amenable number.

13003313301001 is a deficient number, since it is larger than the sum of its proper divisors (1173037096439).

13003313301001 is a wasteful number, since it uses less digits than its factorization.

13003313301001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585085.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13003313301001 its reverse (10010331330031), we get a palindrome (23013644631032).

The spelling of 13003313301001 in words is "thirteen trillion, three billion, three hundred thirteen million, three hundred one thousand, one".