133352005006500 has 384 divisors, whose sum is σ = 444697746554880. Its totient is φ = 30418546752000.

The previous prime is 133352005006499. The next prime is 133352005006607. The reversal of 133352005006500 is 5600500253331.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14094911770 + ... + 14094921230.

It is an arithmetic number, because the mean of its divisors is an integer number (1158067048320).

Almost surely, 2^{133352005006500} is an apocalyptic number.

133352005006500 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 133352005006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222348873277440).

133352005006500 is an abundant number, since it is smaller than the sum of its proper divisors (311345741548380).

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

133352005006500 is a wasteful number, since it uses less digits than its factorization.

133352005006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 133352005006500 its reverse (5600500253331), we get a palindrome (138952505259831).

The spelling of 133352005006500 in words is "one hundred thirty-three trillion, three hundred fifty-two billion, five million, six thousand, five hundred".