133002033120 has 576 divisors, whose sum is σ = 503097993216. Its totient is φ = 31729213440.

The previous prime is 133002033083. The next prime is 133002033259. The reversal of 133002033120 is 21330200331.

133002033120 is a `hidden beast` number, since 1 + 330 + 0 + 2 + 0 + 331 + 2 + 0 = 666.

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 = 133002033093 and 133002033102.

It is a congruent number.

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, 362403177 + ... + 362403543.

It is an arithmetic number, because the mean of its divisors is an integer number (873434016).

Almost surely, 2^133002033120 is an apocalyptic number.

133002033120 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 133002033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251548996608).

133002033120 is an abundant number, since it is smaller than the sum of its proper divisors (370095960096).

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

133002033120 is a wasteful number, since it uses less digits than its factorization.

133002033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133002033120 its reverse (21330200331), we get a palindrome (154332233451).

The spelling of 133002033120 in words is "one hundred thirty-three billion, two million, thirty-three thousand, one hundred twenty".