133352323104 has 384 divisors, whose sum is σ = 478883155968. Its totient is φ = 31368130560.

The previous prime is 133352323087. The next prime is 133352323141. The reversal of 133352323104 is 401323253331.

It is a super-2 number, since 2×133352323104² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 5079997 + ... + 5106179.

It is an arithmetic number, because the mean of its divisors is an integer number (1247091552).

Almost surely, 2^133352323104 is an apocalyptic number.

133352323104 is a gapful number since it is divisible by the number (14) 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 133352323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239441577984).

133352323104 is an abundant number, since it is smaller than the sum of its proper divisors (345530832864).

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

133352323104 is a wasteful number, since it uses less digits than its factorization.

133352323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26280 (or 26272 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 133352323104 its reverse (401323253331), we get a palindrome (534675576435).

The spelling of 133352323104 in words is "one hundred thirty-three billion, three hundred fifty-two million, three hundred twenty-three thousand, one hundred four".