13113404304 has 480 divisors, whose sum is σ = 46813003776. Its totient is φ = 3109155840.

The previous prime is 13113404233. The next prime is 13113404377. The reversal of 13113404304 is 40340431131.

13113404304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13113404304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 42714519 + ... + 42714825.

Almost surely, 2^13113404304 is an apocalyptic number.

13113404304 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 13113404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23406501888).

13113404304 is an abundant number, since it is smaller than the sum of its proper divisors (33699599472).

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

13113404304 is a wasteful number, since it uses less digits than its factorization.

13113404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13113404304 its reverse (40340431131), we get a palindrome (53453835435).

The spelling of 13113404304 in words is "thirteen billion, one hundred thirteen million, four hundred four thousand, three hundred four".