133303302333121 has 2 divisors, whose sum is σ = 133303302333122. Its totient is φ = 133303302333120.

The previous prime is 133303302333119. The next prime is 133303302333127. The reversal of 133303302333121 is 121333203303331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133250545296400 + 52757036721 = 11543420^2 + 229689^2 .

It is a cyclic number.

It is not a de Polignac number, because 133303302333121 - 2¹ = 133303302333119 is a prime.

Together with 133303302333119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133303302333127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66651651166560 + 66651651166561.

It is an arithmetic number, because the mean of its divisors is an integer number (66651651166561).

Almost surely, 2^{133303302333121} is an apocalyptic number.

It is an amenable number.

133303302333121 is a deficient number, since it is larger than the sum of its proper divisors (1).

133303302333121 is an equidigital number, since it uses as much as digits as its factorization.

133303302333121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 133303302333121 its reverse (121333203303331), we get a palindrome (254636505636452).

The spelling of 133303302333121 in words is "one hundred thirty-three trillion, three hundred three billion, three hundred two million, three hundred thirty-three thousand, one hundred twenty-one".