20132133310300 has 432 divisors, whose sum is σ = 54131515673760. Its totient is φ = 6420363264000.

The previous prime is 20132133310241. The next prime is 20132133310309. The reversal of 20132133310300 is 301333123102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132133310309) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 411768256 + ... + 411817144.

It is an arithmetic number, because the mean of its divisors is an integer number (125304434430).

Almost surely, 2^{20132133310300} is an apocalyptic number.

20132133310300 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 20132133310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27065757836880).

20132133310300 is an abundant number, since it is smaller than the sum of its proper divisors (33999382363460).

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

20132133310300 is a wasteful number, since it uses less digits than its factorization.

20132133310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49030 (or 49004 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 20132133310300 its reverse (301333123102), we get a palindrome (20433466433402).

The spelling of 20132133310300 in words is "twenty trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred ten thousand, three hundred".