13001042304 has 96 divisors (see below), whose sum is σ = 37534737240. Its totient is φ = 4319447040.

The previous prime is 13001042267. The next prime is 13001042311. The reversal of 13001042304 is 40324010031.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335284 + ... + 372044.

Almost surely, 2^13001042304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767368620).

13001042304 is an abundant number, since it is smaller than the sum of its proper divisors (24533694936).

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

13001042304 is a wasteful number, since it uses less digits than its factorization.

13001042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37088 (or 37073 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13001042304 its reverse (40324010031), we get a palindrome (53325052335).

The spelling of 13001042304 in words is "thirteen billion, one million, forty-two thousand, three hundred four".