133313323012320 has 192 divisors, whose sum is σ = 458136271143936. Its totient is φ = 32316743546880.

The previous prime is 133313323012211. The next prime is 133313323012361. The reversal of 133313323012320 is 23210323313331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105218422 + ... + 106477898.

It is an arithmetic number, because the mean of its divisors is an integer number (2386126412208).

Almost surely, 2^{133313323012320} is an apocalyptic number.

133313323012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133313323012320 is an abundant number, since it is smaller than the sum of its proper divisors (324822948131616).

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

133313323012320 is a wasteful number, since it uses less digits than its factorization.

133313323012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279553 (or 1279545 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 133313323012320 its reverse (23210323313331), we get a palindrome (156523646325651).

The spelling of 133313323012320 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three hundred twenty-three million, twelve thousand, three hundred twenty".