120013133020 has 192 divisors, whose sum is σ = 294352361856. Its totient is φ = 40619704320.

The previous prime is 120013132991. The next prime is 120013133027. The reversal of 120013133020 is 20331310021.

It is a junction number, because it is equal to n+sod(n) for n = 120013132985 and 120013133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013133027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183787014 + ... + 183787666.

It is an arithmetic number, because the mean of its divisors is an integer number (1533085218).

Almost surely, 2^120013133020 is an apocalyptic number.

120013133020 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 120013133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147176180928).

120013133020 is an abundant number, since it is smaller than the sum of its proper divisors (174339228836).

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

120013133020 is a wasteful number, since it uses less digits than its factorization.

120013133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120013133020 its reverse (20331310021), we get a palindrome (140344443041).

The spelling of 120013133020 in words is "one hundred twenty billion, thirteen million, one hundred thirty-three thousand, twenty".