133303302332213 has 24 divisors (see below), whose sum is σ = 146727206721576. Its totient is φ = 121019878137600.

The previous prime is 133303302332197. The next prime is 133303302332231. The reversal of 133303302332213 is 312233203303331.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 78902750129284 + 54400552202929 = 8882722^2 + 7375673^2 .

It is not a de Polignac number, because 133303302332213 - 2⁴ = 133303302332197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133303302332213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303302332273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103076231 + ... + 104361467.

It is an arithmetic number, because the mean of its divisors is an integer number (6113633613399).

Almost surely, 2^{133303302332213} is an apocalyptic number.

133303302332213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133303302332213 is a deficient number, since it is larger than the sum of its proper divisors (13423904389363).

133303302332213 is a wasteful number, since it uses less digits than its factorization.

133303302332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295385 (or 1295372 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 133303302332213 its reverse (312233203303331), we get a palindrome (445536505635544).

The spelling of 133303302332213 in words is "one hundred thirty-three trillion, three hundred three billion, three hundred two million, three hundred thirty-two thousand, two hundred thirteen".