13004440010221 has 16 divisors (see below), whose sum is σ = 15147740044800. Its totient is φ = 11045227097520.

The previous prime is 13004440010171. The next prime is 13004440010227. The reversal of 13004440010221 is 12201004440031.

It is a happy number.

It is not a de Polignac number, because 13004440010221 - 2¹⁷ = 13004439879149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13004440010192 and 13004440010201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004440010227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597674571 + ... + 597696328.

It is an arithmetic number, because the mean of its divisors is an integer number (946733752800).

Almost surely, 2^{13004440010221} is an apocalyptic number.

13004440010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13004440010221 is a deficient number, since it is larger than the sum of its proper divisors (2143300034579).

13004440010221 is a wasteful number, since it uses less digits than its factorization.

13004440010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195370976.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13004440010221 its reverse (12201004440031), we get a palindrome (25205444450252).

The spelling of 13004440010221 in words is "thirteen trillion, four billion, four hundred forty million, ten thousand, two hundred twenty-one".