13503301120120 has 384 divisors, whose sum is σ = 36410267750400. Its totient is φ = 4505459212800.

The previous prime is 13503301120117. The next prime is 13503301120147. The reversal of 13503301120120 is 2102110330531.

It is a super-2 number, since 2×13503301120120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13503301120091 and 13503301120100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3770816730 + ... + 3770820310.

It is an arithmetic number, because the mean of its divisors is an integer number (94818405600).

Almost surely, 2^{13503301120120} is an apocalyptic number.

13503301120120 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 13503301120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18205133875200).

13503301120120 is an abundant number, since it is smaller than the sum of its proper divisors (22906966630280).

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

13503301120120 is an frugal number, since it uses more digits than its factorization.

13503301120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 13503301120120 its reverse (2102110330531), we get a palindrome (15605411450651).

The spelling of 13503301120120 in words is "thirteen trillion, five hundred three billion, three hundred one million, one hundred twenty thousand, one hundred twenty".