13401000414221 has 32 divisors (see below), whose sum is σ = 16306654890240. Its totient is φ = 10750797029376.

The previous prime is 13401000414157. The next prime is 13401000414223. The reversal of 13401000414221 is 12241400010431.

It is a cyclic number.

It is not a de Polignac number, because 13401000414221 - 2⁶ = 13401000414157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401000414223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21514085 + ... + 22128213.

It is an arithmetic number, because the mean of its divisors is an integer number (509582965320).

Almost surely, 2^{13401000414221} is an apocalyptic number.

It is an amenable number.

13401000414221 is a deficient number, since it is larger than the sum of its proper divisors (2905654476019).

13401000414221 is a wasteful number, since it uses less digits than its factorization.

13401000414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615173.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13401000414221 its reverse (12241400010431), we get a palindrome (25642400424652).

The spelling of 13401000414221 in words is "thirteen trillion, four hundred one billion, four hundred fourteen thousand, two hundred twenty-one".