133321303302053 has 2 divisors, whose sum is σ = 133321303302054. Its totient is φ = 133321303302052.

The previous prime is 133321303301981. The next prime is 133321303302067. The reversal of 133321303302053 is 350203303123331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131873114894404 + 1448188407649 = 11483602^2 + 1203407^2 .

It is a cyclic number.

It is not a de Polignac number, because 133321303302053 - 2²⁸ = 133321034866597 is a prime.

It is a super-3 number, since 3×133321303302053³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133321303302653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66660651651026 + 66660651651027.

It is an arithmetic number, because the mean of its divisors is an integer number (66660651651027).

Almost surely, 2^{133321303302053} is an apocalyptic number.

It is an amenable number.

133321303302053 is a deficient number, since it is larger than the sum of its proper divisors (1).

133321303302053 is an equidigital number, since it uses as much as digits as its factorization.

133321303302053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43740, while the sum is 32.

Adding to 133321303302053 its reverse (350203303123331), we get a palindrome (483524606425384).

The spelling of 133321303302053 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred three million, three hundred two thousand, fifty-three".