133305248307 has 96 divisors (see below), whose sum is σ = 226548854784. Its totient is φ = 68239258560.

The previous prime is 133305248299. The next prime is 133305248311. The reversal of 133305248307 is 703842503331.

It is not a de Polignac number, because 133305248307 - 2³ = 133305248299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133305048307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135610138 + ... + 135611120.

It is an arithmetic number, because the mean of its divisors is an integer number (2359883904).

Almost surely, 2^133305248307 is an apocalyptic number.

133305248307 is a deficient number, since it is larger than the sum of its proper divisors (93243606477).

133305248307 is a wasteful number, since it uses less digits than its factorization.

133305248307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 133305248307 in words is "one hundred thirty-three billion, three hundred five million, two hundred forty-eight thousand, three hundred seven".