133303120320 has 224 divisors, whose sum is σ = 443635863552. Its totient is φ = 33848229888.

The previous prime is 133303120283. The next prime is 133303120333. The reversal of 133303120320 is 23021303331.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4910304 + ... + 4937376.

It is an arithmetic number, because the mean of its divisors is an integer number (1980517248).

Almost surely, 2^133303120320 is an apocalyptic number.

133303120320 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 133303120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221817931776).

133303120320 is an abundant number, since it is smaller than the sum of its proper divisors (310332743232).

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

133303120320 is a wasteful number, since it uses less digits than its factorization.

133303120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27339 (or 27329 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133303120320 its reverse (23021303331), we get a palindrome (156324423651).

The spelling of 133303120320 in words is "one hundred thirty-three billion, three hundred three million, one hundred twenty thousand, three hundred twenty".