133302021332101 has 2 divisors, whose sum is σ = 133302021332102. Its totient is φ = 133302021332100.

The previous prime is 133302021332083. The next prime is 133302021332111. The reversal of 133302021332101 is 101233120203331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103220032395076 + 30081988937025 = 10159726^2 + 5484705^2 .

It is a cyclic number.

It is not a de Polignac number, because 133302021332101 - 2³⁵ = 133267661593733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133302021332111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66651010666050 + 66651010666051.

It is an arithmetic number, because the mean of its divisors is an integer number (66651010666051).

Almost surely, 2^{133302021332101} is an apocalyptic number.

It is an amenable number.

133302021332101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133302021332101 is an equidigital number, since it uses as much as digits as its factorization.

133302021332101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133302021332101 its reverse (101233120203331), we get a palindrome (234535141535432).

The spelling of 133302021332101 in words is "one hundred thirty-three trillion, three hundred two billion, twenty-one million, three hundred thirty-two thousand, one hundred one".