13004144424010 has 16 divisors (see below), whose sum is σ = 23407550116200. Its totient is φ = 5201637735616.

The previous prime is 13004144424001. The next prime is 13004144424023. The reversal of 13004144424010 is 1042444140031.

13004144424010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8544145303369 + 4459999120641 = 2923037^2 + 2111871^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13004144424010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380196 + ... + 5113984.

Almost surely, 2^{13004144424010} is an apocalyptic number.

13004144424010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13004144424010 is a deficient number, since it is larger than the sum of its proper divisors (10403405692190).

13004144424010 is a wasteful number, since it uses less digits than its factorization.

13004144424010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008505.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 13004144424010 its reverse (1042444140031), we get a palindrome (14046588564041).

The spelling of 13004144424010 in words is "thirteen trillion, four billion, one hundred forty-four million, four hundred twenty-four thousand, ten".