13331333200120 has 128 divisors (see below), whose sum is σ = 32678272972800. Its totient is φ = 4865418786816.

The previous prime is 13331333200109. The next prime is 13331333200123. The reversal of 13331333200120 is 2100233313331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331333200123) 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 31 ways as a sum of consecutive naturals, for example, 17389542 + ... + 18139978.

It is an arithmetic number, because the mean of its divisors is an integer number (255299007600).

Almost surely, 2^{13331333200120} is an apocalyptic number.

13331333200120 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 13331333200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339136486400).

13331333200120 is an abundant number, since it is smaller than the sum of its proper divisors (19346939772680).

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

13331333200120 is a wasteful number, since it uses less digits than its factorization.

13331333200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750857 (or 750853 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13331333200120 its reverse (2100233313331), we get a palindrome (15431566513451).

The spelling of 13331333200120 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty-three million, two hundred thousand, one hundred twenty".