13300404204133 has 2 divisors, whose sum is σ = 13300404204134. Its totient is φ = 13300404204132.

The previous prime is 13300404204047. The next prime is 13300404204151. The reversal of 13300404204133 is 33140240400331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10517970032164 + 2782434171969 = 3243142^2 + 1668063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13300404204133 is a prime.

It is a super-2 number, since 2×13300404204133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13300404204173) 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, 6650202102066 + 6650202102067.

It is an arithmetic number, because the mean of its divisors is an integer number (6650202102067).

Almost surely, 2^{13300404204133} is an apocalyptic number.

It is an amenable number.

13300404204133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300404204133 is an equidigital number, since it uses as much as digits as its factorization.

13300404204133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13300404204133 its reverse (33140240400331), we get a palindrome (46440644604464).

The spelling of 13300404204133 in words is "thirteen trillion, three hundred billion, four hundred four million, two hundred four thousand, one hundred thirty-three".