133133542133 has 2 divisors, whose sum is σ = 133133542134. Its totient is φ = 133133542132.

The previous prime is 133133542109. The next prime is 133133542151. The reversal of 133133542133 is 331245331331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128477799844 + 4655742289 = 358438^2 + 68233^2 .

It is a cyclic number.

It is not a de Polignac number, because 133133542133 - 2²⁸ = 132865106677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133133542133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133133542103) 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, 66566771066 + 66566771067.

It is an arithmetic number, because the mean of its divisors is an integer number (66566771067).

Almost surely, 2^133133542133 is an apocalyptic number.

It is an amenable number.

133133542133 is a deficient number, since it is larger than the sum of its proper divisors (1).

133133542133 is an equidigital number, since it uses as much as digits as its factorization.

133133542133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29160, while the sum is 32.

Adding to 133133542133 its reverse (331245331331), we get a palindrome (464378873464).

The spelling of 133133542133 in words is "one hundred thirty-three billion, one hundred thirty-three million, five hundred forty-two thousand, one hundred thirty-three".