13104333330401 has 2 divisors, whose sum is σ = 13104333330402. Its totient is φ = 13104333330400.

The previous prime is 13104333330379. The next prime is 13104333330433. The reversal of 13104333330401 is 10403333340131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11632294678225 + 1472038652176 = 3410615^2 + 1213276^2 .

It is a cyclic number.

It is not a de Polignac number, because 13104333330401 - 2¹⁰ = 13104333329377 is a prime.

It is not a weakly prime, because it can be changed into another prime (13104333320401) 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, 6552166665200 + 6552166665201.

It is an arithmetic number, because the mean of its divisors is an integer number (6552166665201).

Almost surely, 2^{13104333330401} is an apocalyptic number.

It is an amenable number.

13104333330401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13104333330401 is an equidigital number, since it uses as much as digits as its factorization.

13104333330401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13104333330401 its reverse (10403333340131), we get a palindrome (23507666670532).

The spelling of 13104333330401 in words is "thirteen trillion, one hundred four billion, three hundred thirty-three million, three hundred thirty thousand, four hundred one".