133220132313120 has 480 divisors, whose sum is σ = 501393787171200. Its totient is φ = 33195089240064.

The previous prime is 133220132313109. The next prime is 133220132313181. The reversal of 133220132313120 is 21313231022331.

133220132313120 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 20 + 1 + 323 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28449421 + ... + 32799539.

It is an arithmetic number, because the mean of its divisors is an integer number (1044570389940).

Almost surely, 2^{133220132313120} is an apocalyptic number.

133220132313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133220132313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250696893585600).

133220132313120 is an abundant number, since it is smaller than the sum of its proper divisors (368173654858080).

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

133220132313120 is a wasteful number, since it uses less digits than its factorization.

133220132313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350302 (or 4350285 counting only the distinct ones).

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

Adding to 133220132313120 its reverse (21313231022331), we get a palindrome (154533363335451).

The spelling of 133220132313120 in words is "one hundred thirty-three trillion, two hundred twenty billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred twenty".