133020003010032 has 120 divisors (see below), whose sum is σ = 373651508705904. Its totient is φ = 44175847421952.

The previous prime is 133020003009973. The next prime is 133020003010087. The reversal of 133020003010032 is 230010300020331.

133020003010032 is a `hidden beast` number, since 1 + 330 + 2 + 0 + 0 + 0 + 301 + 0 + 0 + 32 = 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 = 133020003009987 and 133020003010014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51209203 + ... + 53744045.

Almost surely, 2^{133020003010032} is an apocalyptic number.

133020003010032 is a gapful number since it is divisible by the number (12) 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 133020003010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186825754352952).

133020003010032 is an abundant number, since it is smaller than the sum of its proper divisors (240631505695872).

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

133020003010032 is a wasteful number, since it uses less digits than its factorization.

133020003010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536207 (or 2536198 counting only the distinct ones).

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

Adding to 133020003010032 its reverse (230010300020331), we get a palindrome (363030303030363).

The spelling of 133020003010032 in words is "one hundred thirty-three trillion, twenty billion, three million, ten thousand, thirty-two".