20133201333300 has 144 divisors (see below), whose sum is σ = 63570816332352. Its totient is φ = 4879000985600.

The previous prime is 20133201333281. The next prime is 20133201333361. The reversal of 20133201333300 is 333310233102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7976842 + ... + 10192958.

It is an arithmetic number, because the mean of its divisors is an integer number (441464002308).

Almost surely, 2^{20133201333300} is an apocalyptic number.

20133201333300 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 20133201333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31785408166176).

20133201333300 is an abundant number, since it is smaller than the sum of its proper divisors (43437614999052).

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

20133201333300 is a wasteful number, since it uses less digits than its factorization.

20133201333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218898 (or 2218891 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 20133201333300 its reverse (333310233102), we get a palindrome (20466511566402).

The spelling of 20133201333300 in words is "twenty trillion, one hundred thirty-three billion, two hundred one million, three hundred thirty-three thousand, three hundred".