133221301240113 has 36 divisors (see below), whose sum is σ = 199923818894748. Its totient is φ = 85481130725760.

The previous prime is 133221301240109. The next prime is 133221301240177. The reversal of 133221301240113 is 311042103122331.

133221301240113 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 1 + 301 + 240 + 113 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22975648197264 + 110245653042849 = 4793292^2 + 10499793^2 .

It is not a de Polignac number, because 133221301240113 - 2² = 133221301240109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133221301240193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25362318 + ... + 30161063.

It is an arithmetic number, because the mean of its divisors is an integer number (5553439413743).

Almost surely, 2^{133221301240113} is an apocalyptic number.

It is an amenable number.

133221301240113 is a deficient number, since it is larger than the sum of its proper divisors (66702517654635).

133221301240113 is a wasteful number, since it uses less digits than its factorization.

133221301240113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55523762 (or 55523730 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133221301240113 its reverse (311042103122331), we get a palindrome (444263404362444).

The spelling of 133221301240113 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, three hundred one million, two hundred forty thousand, one hundred thirteen".