20132133102120 has 256 divisors, whose sum is σ = 67295714976000. Its totient is φ = 4783965290496.

The previous prime is 20132133102089. The next prime is 20132133102127. The reversal of 20132133102120 is 2120133123102.

It is not an unprimeable number, because it can be changed into a prime (20132133102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319227151 + ... + 319290209.

It is an arithmetic number, because the mean of its divisors is an integer number (262873886625).

Almost surely, 2^{20132133102120} is an apocalyptic number.

20132133102120 is a gapful number since it is divisible by the number (20) 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 20132133102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33647857488000).

20132133102120 is an abundant number, since it is smaller than the sum of its proper divisors (47163581873880).

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

20132133102120 is a wasteful number, since it uses less digits than its factorization.

20132133102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70172 (or 70168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20132133102120 its reverse (2120133123102), we get a palindrome (22252266225222).

The spelling of 20132133102120 in words is "twenty trillion, one hundred thirty-two billion, one hundred thirty-three million, one hundred two thousand, one hundred twenty".