13333131300120 has 128 divisors (see below), whose sum is σ = 41412365208000. Its totient is φ = 3430103828480.

The previous prime is 13333131300089. The next prime is 13333131300127. The reversal of 13333131300120 is 2100313133331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333131300127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2718190 + ... + 5835650.

Almost surely, 2^{13333131300120} is an apocalyptic number.

13333131300120 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 13333131300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706182604000).

13333131300120 is an abundant number, since it is smaller than the sum of its proper divisors (28079233907880).

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

13333131300120 is a wasteful number, since it uses less digits than its factorization.

13333131300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118733 (or 3118729 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13333131300120 its reverse (2100313133331), we get a palindrome (15433444433451).

The spelling of 13333131300120 in words is "thirteen trillion, three hundred thirty-three billion, one hundred thirty-one million, three hundred thousand, one hundred twenty".