33140122321133 has 2 divisors, whose sum is σ = 33140122321134. Its totient is φ = 33140122321132.

The previous prime is 33140122321109. The next prime is 33140122321153. The reversal of 33140122321133 is 33112322104133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24094717197769 + 9045405123364 = 4908637^2 + 3007558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33140122321133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33140122321096 and 33140122321105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33140122321153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16570061160566 + 16570061160567.

It is an arithmetic number, because the mean of its divisors is an integer number (16570061160567).

Almost surely, 2^{33140122321133} is an apocalyptic number.

It is an amenable number.

33140122321133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33140122321133 is an equidigital number, since it uses as much as digits as its factorization.

33140122321133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 33140122321133 its reverse (33112322104133), we get a palindrome (66252444425266).

The spelling of 33140122321133 in words is "thirty-three trillion, one hundred forty billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty-three".