20131233331200 has 288 divisors, whose sum is σ = 69444561513600. Its totient is φ = 5134922383360.

The previous prime is 20131233331189. The next prime is 20131233331217. The reversal of 20131233331200 is 213333213102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 683611 + ... + 6381989.

It is an arithmetic number, because the mean of its divisors is an integer number (241126949700).

Almost surely, 2^{20131233331200} is an apocalyptic number.

20131233331200 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 20131233331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34722280756800).

20131233331200 is an abundant number, since it is smaller than the sum of its proper divisors (49313328182400).

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

20131233331200 is a wasteful number, since it uses less digits than its factorization.

20131233331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698437 (or 5698412 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 20131233331200 its reverse (213333213102), we get a palindrome (20344566544302).

The spelling of 20131233331200 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-three million, three hundred thirty-one thousand, two hundred".