13001334304320 has 112 divisors (see below), whose sum is σ = 45865818270720. Its totient is φ = 3467022478848.

The previous prime is 13001334304307. The next prime is 13001334304333. The reversal of 13001334304320 is 2340343310031.

13001334304320 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 3 + 34 + 304 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (13001334304307) and next prime (13001334304333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752383392 + ... + 752400671.

It is an arithmetic number, because the mean of its divisors is an integer number (409516234560).

Almost surely, 2^{13001334304320} is an apocalyptic number.

13001334304320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001334304320 is an abundant number, since it is smaller than the sum of its proper divisors (32864483966400).

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

13001334304320 is a wasteful number, since it uses less digits than its factorization.

13001334304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504784089 (or 1504784073 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13001334304320 its reverse (2340343310031), we get a palindrome (15341677614351).

The spelling of 13001334304320 in words is "thirteen trillion, one billion, three hundred thirty-four million, three hundred four thousand, three hundred twenty".