13414133404321 has 8 divisors (see below), whose sum is σ = 14446066790120. Its totient is φ = 12382211014272.

The previous prime is 13414133404319. The next prime is 13414133404351. The reversal of 13414133404321 is 12340433141431.

It can be written as a sum of positive squares in 4 ways, for example, as 5763576555025 + 7650556849296 = 2400745^2 + 2765964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13414133404321 - 2¹ = 13414133404319 is a prime.

It is a super-2 number, since 2×13414133404321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13414133404351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122250 + ... + 5181043.

It is an arithmetic number, because the mean of its divisors is an integer number (1805758348765).

Almost surely, 2^{13414133404321} is an apocalyptic number.

It is an amenable number.

13414133404321 is a deficient number, since it is larger than the sum of its proper divisors (1031933385799).

13414133404321 is a wasteful number, since it uses less digits than its factorization.

13414133404321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497875.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 13414133404321 its reverse (12340433141431), we get a palindrome (25754566545752).

The spelling of 13414133404321 in words is "thirteen trillion, four hundred fourteen billion, one hundred thirty-three million, four hundred four thousand, three hundred twenty-one".