133120102120 has 64 divisors (see below), whose sum is σ = 306999745920. Its totient is φ = 51930388224.

The previous prime is 133120102117. The next prime is 133120102189. The reversal of 133120102120 is 21201021331.

It is a junction number, because it is equal to n+sod(n) for n = 133120102094 and 133120102103.

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 15 ways as a sum of consecutive naturals, for example, 166039 + ... + 542041.

It is an arithmetic number, because the mean of its divisors is an integer number (4796871030).

Almost surely, 2^133120102120 is an apocalyptic number.

133120102120 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 133120102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153499872960).

133120102120 is an abundant number, since it is smaller than the sum of its proper divisors (173879643800).

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

133120102120 is a wasteful number, since it uses less digits than its factorization.

133120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376234 (or 376230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 133120102120 its reverse (21201021331), we get a palindrome (154321123451).

The spelling of 133120102120 in words is "one hundred thirty-three billion, one hundred twenty million, one hundred two thousand, one hundred twenty".