13021304004 has 36 divisors (see below), whose sum is σ = 32918465580. Its totient is φ = 4339972800.

The previous prime is 13021303963. The next prime is 13021304017. The reversal of 13021304004 is 40040312031.

13021304004 is a `hidden beast` number, since 130 + 2 + 130 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9896270400 + 3125033604 = 99480^2 + 55902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575742 + ... + 597930.

Almost surely, 2^13021304004 is an apocalyptic number.

It is an amenable number.

13021304004 is an abundant number, since it is smaller than the sum of its proper divisors (19897161576).

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

13021304004 is a wasteful number, since it uses less digits than its factorization.

13021304004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38500 (or 38495 counting only the distinct ones).

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

Adding to 13021304004 its reverse (40040312031), we get a palindrome (53061616035).

The spelling of 13021304004 in words is "thirteen billion, twenty-one million, three hundred four thousand, four".