135300133 has 2 divisors, whose sum is σ = 135300134. Its totient is φ = 135300132.

The previous prime is 135300107. The next prime is 135300173. The reversal of 135300133 is 331003531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116273089 + 19027044 = 10783^2 + 4362^2 .

It is a cyclic number.

It is not a de Polignac number, because 135300133 - 2⁵ = 135300101 is a prime.

It is a super-2 number, since 2×135300133² = 36612251979635378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135300133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135300173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67650066 + 67650067.

It is an arithmetic number, because the mean of its divisors is an integer number (67650067).

Almost surely, 2^135300133 is an apocalyptic number.

It is an amenable number.

135300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

135300133 is an equidigital number, since it uses as much as digits as its factorization.

135300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 135300133 is about 11631.8585359348. The cubic root of 135300133 is about 513.3726657424.

Adding to 135300133 its reverse (331003531), we get a palindrome (466303664).

The spelling of 135300133 in words is "one hundred thirty-five million, three hundred thousand, one hundred thirty-three".