13517383320 has 192 divisors, whose sum is σ = 50813118720. Its totient is φ = 3052415232.

The previous prime is 13517383283. The next prime is 13517383381. The reversal of 13517383320 is 2338371531.

13517383320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 176847 + ... + 241473.

It is an arithmetic number, because the mean of its divisors is an integer number (264651660).

Almost surely, 2^13517383320 is an apocalyptic number.

13517383320 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 13517383320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25406559360).

13517383320 is an abundant number, since it is smaller than the sum of its proper divisors (37295735400).

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

13517383320 is a wasteful number, since it uses less digits than its factorization.

13517383320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64734 (or 64727 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13517383320 in words is "thirteen billion, five hundred seventeen million, three hundred eighty-three thousand, three hundred twenty".