13334331304 has 64 divisors (see below), whose sum is σ = 29270039040. Its totient is φ = 5575711680.

The previous prime is 13334331251. The next prime is 13334331331. The reversal of 13334331304 is 40313343331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2701719 + ... + 2706649.

It is an arithmetic number, because the mean of its divisors is an integer number (457344360).

Almost surely, 2^13334331304 is an apocalyptic number.

13334331304 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 13334331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635019520).

13334331304 is an abundant number, since it is smaller than the sum of its proper divisors (15935707736).

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

13334331304 is a wasteful number, since it uses less digits than its factorization.

13334331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 13334331304 its reverse (40313343331), we get a palindrome (53647674635).

The spelling of 13334331304 in words is "thirteen billion, three hundred thirty-four million, three hundred thirty-one thousand, three hundred four".