133112200105008 has 60 divisors (see below), whose sum is σ = 372576244881360. Its totient is φ = 44365139803008.

The previous prime is 133112200104959. The next prime is 133112200105009. The reversal of 133112200105008 is 800501002211331.

133112200105008 is a `hidden beast` number, since 1 + 3 + 31 + 122 + 0 + 0 + 1 + 0 + 500 + 8 = 666.

133112200105008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133112200105009) 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, 57119988 + ... + 59404691.

It is an arithmetic number, because the mean of its divisors is an integer number (6209604081356).

Almost surely, 2^{133112200105008} is an apocalyptic number.

133112200105008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133112200105008 is an abundant number, since it is smaller than the sum of its proper divisors (239464044776352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133112200105008 is a wasteful number, since it uses less digits than its factorization.

133112200105008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116532626 (or 116532617 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 133112200105008 its reverse (800501002211331), we get a palindrome (933613202316339).

The spelling of 133112200105008 in words is "one hundred thirty-three trillion, one hundred twelve billion, two hundred million, one hundred five thousand, eight".