133005013 has 2 divisors, whose sum is σ = 133005014. Its totient is φ = 133005012.

The previous prime is 133005011. The next prime is 133005023. The reversal of 133005013 is 310500331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107371044 + 25633969 = 10362^2 + 5063^2 .

It is an emirp because it is prime and its reverse (310500331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133005013 - 2¹ = 133005011 is a prime.

Together with 133005011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133005011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66502506 + 66502507.

It is an arithmetic number, because the mean of its divisors is an integer number (66502507).

Almost surely, 2^133005013 is an apocalyptic number.

It is an amenable number.

133005013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133005013 is an equidigital number, since it uses as much as digits as its factorization.

133005013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 133005013 is about 11532.7799337367. The cubic root of 133005013 is about 510.4532853280.

Adding to 133005013 its reverse (310500331), we get a palindrome (443505344).

The spelling of 133005013 in words is "one hundred thirty-three million, five thousand, thirteen".