13413320320 has 64 divisors (see below), whose sum is σ = 33460439040. Its totient is φ = 5132047360.

The previous prime is 13413320299. The next prime is 13413320329. The reversal of 13413320320 is 2302331431.

13413320320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13413320291 and 13413320300.

It is not an unprimeable number, because it can be changed into a prime (13413320329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 440896 + ... + 470335.

It is an arithmetic number, because the mean of its divisors is an integer number (522819360).

Almost surely, 2^13413320320 is an apocalyptic number.

13413320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413320320 is an abundant number, since it is smaller than the sum of its proper divisors (20047118720).

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

13413320320 is an equidigital number, since it uses as much as digits as its factorization.

13413320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911273 (or 911261 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13413320320 its reverse (2302331431), we get a palindrome (15715651751).

The spelling of 13413320320 in words is "thirteen billion, four hundred thirteen million, three hundred twenty thousand, three hundred twenty".