13002230304 has 144 divisors (see below), whose sum is σ = 43620595200. Its totient is φ = 3595069440.

The previous prime is 13002230299. The next prime is 13002230323. The reversal of 13002230304 is 40303220031.

13002230304 is a `hidden beast` number, since 130 + 0 + 2 + 230 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41529 + ... + 166520.

It is an arithmetic number, because the mean of its divisors is an integer number (302920800).

Almost surely, 2^13002230304 is an apocalyptic number.

13002230304 is a gapful number since it is divisible by the number (14) 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 13002230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810297600).

13002230304 is an abundant number, since it is smaller than the sum of its proper divisors (30618364896).

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

13002230304 is a wasteful number, since it uses less digits than its factorization.

13002230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208103 (or 208092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13002230304 its reverse (40303220031), we get a palindrome (53305450335).

The spelling of 13002230304 in words is "thirteen billion, two million, two hundred thirty thousand, three hundred four".