133220021000112 has 160 divisors (see below), whose sum is σ = 408893136039360. Its totient is φ = 41380709068800.

The previous prime is 133220021000071. The next prime is 133220021000123. The reversal of 133220021000112 is 211000120022331.

133220021000112 is a `hidden beast` number, since 1 + 332 + 200 + 21 + 0 + 0 + 0 + 112 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89060143 + ... + 90543630.

It is an arithmetic number, because the mean of its divisors is an integer number (2555582100246).

Almost surely, 2^{133220021000112} is an apocalyptic number.

133220021000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133220021000112 is an abundant number, since it is smaller than the sum of its proper divisors (275673115039248).

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

133220021000112 is a wasteful number, since it uses less digits than its factorization.

133220021000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179603908 (or 179603896 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133220021000112 its reverse (211000120022331), we get a palindrome (344220141022443).

The spelling of 133220021000112 in words is "one hundred thirty-three trillion, two hundred twenty billion, twenty-one million, one hundred twelve", and thus it is an aban number.