13003321301401 has 2 divisors, whose sum is σ = 13003321301402. Its totient is φ = 13003321301400.

The previous prime is 13003321301317. The next prime is 13003321301419. The reversal of 13003321301401 is 10410312330031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8657576525376 + 4345744776025 = 2942376^2 + 2084645^2 .

It is an emirp because it is prime and its reverse (10410312330031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13003321301401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13003321301101) 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 as a sum of consecutive naturals, namely, 6501660650700 + 6501660650701.

It is an arithmetic number, because the mean of its divisors is an integer number (6501660650701).

Almost surely, 2^{13003321301401} is an apocalyptic number.

It is an amenable number.

13003321301401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003321301401 is an equidigital number, since it uses as much as digits as its factorization.

13003321301401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13003321301401 its reverse (10410312330031), we get a palindrome (23413633631432).

The spelling of 13003321301401 in words is "thirteen trillion, three billion, three hundred twenty-one million, three hundred one thousand, four hundred one".