133321113120 has 192 divisors, whose sum is σ = 459017919360. Its totient is φ = 32327589888.

The previous prime is 133321113119. The next prime is 133321113131. The reversal of 133321113120 is 21311123331.

It is a happy number.

It is a super-2 number, since 2×133321113120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258636 + ... + 577524.

It is an arithmetic number, because the mean of its divisors is an integer number (2390718330).

Almost surely, 2^133321113120 is an apocalyptic number.

133321113120 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 133321113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229508959680).

133321113120 is an abundant number, since it is smaller than the sum of its proper divisors (325696806240).

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

133321113120 is a wasteful number, since it uses less digits than its factorization.

133321113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318987 (or 318979 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133321113120 its reverse (21311123331), we get a palindrome (154632236451).

The spelling of 133321113120 in words is "one hundred thirty-three billion, three hundred twenty-one million, one hundred thirteen thousand, one hundred twenty".