133022103132000 has 384 divisors, whose sum is σ = 461450814814080. Its totient is φ = 33383315865600.

The previous prime is 133022103131999. The next prime is 133022103132007. The reversal of 133022103132000 is 231301220331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133022103132007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4795822132 + ... + 4795849868.

It is an arithmetic number, because the mean of its divisors is an integer number (1201694830245).

Almost surely, 2^{133022103132000} is an apocalyptic number.

133022103132000 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 133022103132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230725407407040).

133022103132000 is an abundant number, since it is smaller than the sum of its proper divisors (328428711682080).

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

133022103132000 is a wasteful number, since it uses less digits than its factorization.

133022103132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51291 (or 51273 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133022103132000 its reverse (231301220331), we get a palindrome (133253404352331).

The spelling of 133022103132000 in words is "one hundred thirty-three trillion, twenty-two billion, one hundred three million, one hundred thirty-two thousand".