133322301321120 has 144 divisors (see below), whose sum is σ = 464642403563520. Its totient is φ = 34796175078912.

The previous prime is 133322301321101. The next prime is 133322301321149. The reversal of 133322301321120 is 21123103223331.

133322301321120 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 22 + 301 + 321 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984878400 + ... + 985013759.

It is an arithmetic number, because the mean of its divisors is an integer number (3226683358080).

Almost surely, 2^{133322301321120} is an apocalyptic number.

133322301321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133322301321120 is an abundant number, since it is smaller than the sum of its proper divisors (331320102242400).

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

133322301321120 is a wasteful number, since it uses less digits than its factorization.

133322301321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969892227 (or 1969892216 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133322301321120 its reverse (21123103223331), we get a palindrome (154445404544451).

The spelling of 133322301321120 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty".