13333000310401 has 2 divisors, whose sum is σ = 13333000310402. Its totient is φ = 13333000310400.

The previous prime is 13333000310381. The next prime is 13333000310407. The reversal of 13333000310401 is 10401300033331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11968998221376 + 1364002089025 = 3459624^2 + 1167905^2 .

It is an emirp because it is prime and its reverse (10401300033331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13333000310401 - 2⁵ = 13333000310369 is a prime.

It is not a weakly prime, because it can be changed into another prime (13333000310407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6666500155200 + 6666500155201.

It is an arithmetic number, because the mean of its divisors is an integer number (6666500155201).

Almost surely, 2^{13333000310401} is an apocalyptic number.

It is an amenable number.

13333000310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13333000310401 is an equidigital number, since it uses as much as digits as its factorization.

13333000310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13333000310401 its reverse (10401300033331), we get a palindrome (23734300343732).

The spelling of 13333000310401 in words is "thirteen trillion, three hundred thirty-three billion, three hundred ten thousand, four hundred one".