133302400321000 has 128 divisors (see below), whose sum is σ = 312613170854400. Its totient is φ = 53203890220800.

The previous prime is 133302400320989. The next prime is 133302400321003. The reversal of 133302400321000 is 123004203331.

It is not an unprimeable number, because it can be changed into a prime (133302400321003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909573729 + ... + 909720271.

It is an arithmetic number, because the mean of its divisors is an integer number (2442290397300).

Almost surely, 2^{133302400321000} is an apocalyptic number.

133302400321000 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 133302400321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156306585427200).

133302400321000 is an abundant number, since it is smaller than the sum of its proper divisors (179310770533400).

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

133302400321000 is a wasteful number, since it uses less digits than its factorization.

133302400321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148556 (or 148542 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 133302400321000 its reverse (123004203331), we get a palindrome (133425404524331).

The spelling of 133302400321000 in words is "one hundred thirty-three trillion, three hundred two billion, four hundred million, three hundred twenty-one thousand".