13040331304 has 128 divisors (see below), whose sum is σ = 34760275200. Its totient is φ = 4413911040.

The previous prime is 13040331289. The next prime is 13040331341. The reversal of 13040331304 is 40313304031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 88242 + ... + 184030.

It is an arithmetic number, because the mean of its divisors is an integer number (271564650).

Almost surely, 2^13040331304 is an apocalyptic number.

13040331304 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 13040331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380137600).

13040331304 is an abundant number, since it is smaller than the sum of its proper divisors (21719943896).

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

13040331304 is a wasteful number, since it uses less digits than its factorization.

13040331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95843 (or 95839 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13040331304 its reverse (40313304031), we get a palindrome (53353635335).

The spelling of 13040331304 in words is "thirteen billion, forty million, three hundred thirty-one thousand, three hundred four".