133302133073 has 2 divisors, whose sum is σ = 133302133074. Its totient is φ = 133302133072.

The previous prime is 133302133049. The next prime is 133302133109. The reversal of 133302133073 is 370331203331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73207042624 + 60095090449 = 270568^2 + 245143^2 .

It is a cyclic number.

It is not a de Polignac number, because 133302133073 - 2¹⁸ = 133301870929 is a prime.

It is not a weakly prime, because it can be changed into another prime (133302133373) 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, 66651066536 + 66651066537.

It is an arithmetic number, because the mean of its divisors is an integer number (66651066537).

Almost surely, 2^133302133073 is an apocalyptic number.

It is an amenable number.

133302133073 is a deficient number, since it is larger than the sum of its proper divisors (1).

133302133073 is an equidigital number, since it uses as much as digits as its factorization.

133302133073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 29.

The spelling of 133302133073 in words is "one hundred thirty-three billion, three hundred two million, one hundred thirty-three thousand, seventy-three".