133400200306320 has 480 divisors, whose sum is σ = 458312550119424. Its totient is φ = 34760362291200.

The previous prime is 133400200306213. The next prime is 133400200306349. The reversal of 133400200306320 is 23603002004331.

It is a happy number.

133400200306320 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 0 + 20 + 0 + 3 + 0 + 632 + 0 = 666.

It is a super-2 number, since 2×133400200306320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17232937650 + ... + 17232945390.

Almost surely, 2^{133400200306320} is an apocalyptic number.

133400200306320 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 133400200306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229156275059712).

133400200306320 is an abundant number, since it is smaller than the sum of its proper divisors (324912349813104).

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

133400200306320 is a wasteful number, since it uses less digits than its factorization.

133400200306320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 133400200306320 in words is "one hundred thirty-three trillion, four hundred billion, two hundred million, three hundred six thousand, three hundred twenty".