133527313 has 2 divisors, whose sum is σ = 133527314. Its totient is φ = 133527312.

The previous prime is 133527311. The next prime is 133527319. The reversal of 133527313 is 313725331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124724224 + 8803089 = 11168^2 + 2967^2 .

It is a cyclic number.

It is not a de Polignac number, because 133527313 - 2¹ = 133527311 is a prime.

Together with 133527311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133527311) 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, 66763656 + 66763657.

It is an arithmetic number, because the mean of its divisors is an integer number (66763657).

Almost surely, 2^133527313 is an apocalyptic number.

It is an amenable number.

133527313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133527313 is an equidigital number, since it uses as much as digits as its factorization.

133527313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 28.

The square root of 133527313 is about 11555.4018969485. The cubic root of 133527313 is about 511.1205822949.

The spelling of 133527313 in words is "one hundred thirty-three million, five hundred twenty-seven thousand, three hundred thirteen".