13301032320 has 384 divisors, whose sum is σ = 47616660000. Its totient is φ = 3418619904.

The previous prime is 13301032313. The next prime is 13301032331. The reversal of 13301032320 is 2323010331.

13301032320 is a `hidden beast` number, since 1 + 330 + 10 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13301032293 and 13301032302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29623456 + ... + 29623904.

Almost surely, 2^13301032320 is an apocalyptic number.

13301032320 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 13301032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808330000).

13301032320 is an abundant number, since it is smaller than the sum of its proper divisors (34315627680).

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

13301032320 is a wasteful number, since it uses less digits than its factorization.

13301032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13301032320 its reverse (2323010331), we get a palindrome (15624042651).

The spelling of 13301032320 in words is "thirteen billion, three hundred one million, thirty-two thousand, three hundred twenty".