133344221305050 has 768 divisors, whose sum is σ = 440698833469440. Its totient is φ = 28986696288000.

The previous prime is 133344221305013. The next prime is 133344221305081. The reversal of 133344221305050 is 50503122443331.

133344221305050 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 422 + 130 + 50 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133344221304996 and 133344221305014.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62573542485 + ... + 62573544615.

It is an arithmetic number, because the mean of its divisors is an integer number (573826606080).

Almost surely, 2^{133344221305050} is an apocalyptic number.

133344221305050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133344221305050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220349416734720).

133344221305050 is an abundant number, since it is smaller than the sum of its proper divisors (307354612164390).

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

133344221305050 is a wasteful number, since it uses less digits than its factorization.

133344221305050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 133344221305050 its reverse (50503122443331), we get a palindrome (183847343748381).

The spelling of 133344221305050 in words is "one hundred thirty-three trillion, three hundred forty-four billion, two hundred twenty-one million, three hundred five thousand, fifty".