13001312320 has 28 divisors (see below), whose sum is σ = 30959375724. Its totient is φ = 5200524800.

The previous prime is 13001312249. The next prime is 13001312333. The reversal of 13001312320 is 2321310031.

It can be written as a sum of positive squares in 2 ways, for example, as 10343703616 + 2657608704 = 101704^2 + 51552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13001312294 and 13001312303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20314231 + ... + 20314870.

Almost surely, 2^13001312320 is an apocalyptic number.

13001312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001312320 is an abundant number, since it is smaller than the sum of its proper divisors (17958063404).

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

13001312320 is an equidigital number, since it uses as much as digits as its factorization.

13001312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40629118 (or 40629108 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13001312320 its reverse (2321310031), we get a palindrome (15322622351).

The spelling of 13001312320 in words is "thirteen billion, one million, three hundred twelve thousand, three hundred twenty".