132333321010320 has 240 divisors, whose sum is σ = 445483389648960. Its totient is φ = 35204473414656.

The previous prime is 132333321010243. The next prime is 132333321010343. The reversal of 132333321010320 is 23010123333231.

132333321010320 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 3 + 321 + 0 + 10 + 320 = 666.

132333321010320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703698066 + ... + 703886094.

It is an arithmetic number, because the mean of its divisors is an integer number (1856180790204).

Almost surely, 2^{132333321010320} is an apocalyptic number.

132333321010320 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 132333321010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222741694824480).

132333321010320 is an abundant number, since it is smaller than the sum of its proper divisors (313150068638640).

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

132333321010320 is a wasteful number, since it uses less digits than its factorization.

132333321010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190382 (or 190373 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132333321010320 its reverse (23010123333231), we get a palindrome (155343444343551).

The spelling of 132333321010320 in words is "one hundred thirty-two trillion, three hundred thirty-three billion, three hundred twenty-one million, ten thousand, three hundred twenty".