13133033142433 has 2 divisors, whose sum is σ = 13133033142434. Its totient is φ = 13133033142432.

The previous prime is 13133033142401. The next prime is 13133033142487. The reversal of 13133033142433 is 33424133033131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11803677179904 + 1329355962529 = 3435648^2 + 1152977^2 .

It is an emirp because it is prime and its reverse (33424133033131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13133033142433 - 2⁵ = 13133033142401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133033142133) 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, 6566516571216 + 6566516571217.

It is an arithmetic number, because the mean of its divisors is an integer number (6566516571217).

Almost surely, 2^{13133033142433} is an apocalyptic number.

It is an amenable number.

13133033142433 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133033142433 is an equidigital number, since it uses as much as digits as its factorization.

13133033142433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 34.

Adding to 13133033142433 its reverse (33424133033131), we get a palindrome (46557166175564).

The spelling of 13133033142433 in words is "thirteen trillion, one hundred thirty-three billion, thirty-three million, one hundred forty-two thousand, four hundred thirty-three".