133300133331201 has 12 divisors (see below), whose sum is σ = 192544759565028. Its totient is φ = 88866699001344.

The previous prime is 133300133331187. The next prime is 133300133331259. The reversal of 133300133331201 is 102133331003331.

133300133331201 is a `hidden beast` number, since 1 + 3 + 3 + 300 + 1 + 3 + 3 + 331 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67690522130625 + 65609611200576 = 8227425^2 + 8099976^2 .

It is not a de Polignac number, because 133300133331201 - 2¹⁵ = 133300133298433 is a prime.

It is a super-3 number, since 3×133300133331201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133300133331601) 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 11 ways as a sum of consecutive naturals, for example, 14217661 + ... + 21650453.

It is an arithmetic number, because the mean of its divisors is an integer number (16045396630419).

Almost surely, 2^{133300133331201} is an apocalyptic number.

It is an amenable number.

133300133331201 is a deficient number, since it is larger than the sum of its proper divisors (59244626233827).

133300133331201 is a wasteful number, since it uses less digits than its factorization.

133300133331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425472 (or 9425469 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133300133331201 its reverse (102133331003331), we get a palindrome (235433464334532).

The spelling of 133300133331201 in words is "one hundred thirty-three trillion, three hundred billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred one".