133000330120020 has 72 divisors (see below), whose sum is σ = 440110183312800. Its totient is φ = 32242504271040.

The previous prime is 133000330120019. The next prime is 133000330120201. The reversal of 133000330120020 is 20021033000331.

133000330120020 is a `hidden beast` number, since 1 + 3 + 300 + 0 + 330 + 12 + 0 + 0 + 20 = 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 = 133000330119975 and 133000330120002.

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, 33585939970 + ... + 33585943929.

It is an arithmetic number, because the mean of its divisors is an integer number (6112641434900).

Almost surely, 2^{133000330120020} is an apocalyptic number.

133000330120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133000330120020 is an abundant number, since it is smaller than the sum of its proper divisors (307109853192780).

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

133000330120020 is a wasteful number, since it uses less digits than its factorization.

133000330120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67171883925 (or 67171883920 counting only the distinct ones).

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

Adding to 133000330120020 its reverse (20021033000331), we get a palindrome (153021363120351).

The spelling of 133000330120020 in words is "one hundred thirty-three trillion, three hundred thirty million, one hundred twenty thousand, twenty".