133132332333000 has 1024 divisors, whose sum is σ = 557994200924160. Its totient is φ = 25522560000000.

The previous prime is 133132332332983. The next prime is 133132332333019. The reversal of 133132332333000 is 333233231331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6339322500 + ... + 6339343500.

It is an arithmetic number, because the mean of its divisors is an integer number (544916211840).

Almost surely, 2^{133132332333000} is an apocalyptic number.

133132332333000 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 133132332333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278997100462080).

133132332333000 is an abundant number, since it is smaller than the sum of its proper divisors (424861868591160).

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

133132332333000 is a wasteful number, since it uses less digits than its factorization.

133132332333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23167 (or 23153 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 133132332333000 its reverse (333233231331), we get a palindrome (133465565564331).

The spelling of 133132332333000 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, three hundred thirty-two million, three hundred thirty-three thousand".