133000033320 has 768 divisors, whose sum is σ = 565866362880. Its totient is φ = 27290649600.

The previous prime is 133000033297. The next prime is 133000033349. The reversal of 133000033320 is 23330000331.

133000033320 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 0 + 3 + 332 + 0 = 666.

It is a super-2 number, since 2×133000033320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133000033293 and 133000033302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62119450 + ... + 62121590.

It is an arithmetic number, because the mean of its divisors is an integer number (736805160).

Almost surely, 2^133000033320 is an apocalyptic number.

133000033320 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 133000033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282933181440).

133000033320 is an abundant number, since it is smaller than the sum of its proper divisors (432866329560).

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

133000033320 is a wasteful number, since it uses less digits than its factorization.

133000033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 133000033320 its reverse (23330000331), we get a palindrome (156330033651).

The spelling of 133000033320 in words is "one hundred thirty-three billion, thirty-three thousand, three hundred twenty".