13414242100221 has 12 divisors (see below), whose sum is σ = 19378328674848. Its totient is φ = 8941812129864.

The previous prime is 13414242100211. The next prime is 13414242100241. The reversal of 13414242100221 is 12200124241431.

13414242100221 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 424 + 2 + 10 + 0 + 221 = 666.

It is not a de Polignac number, because 13414242100221 - 2¹⁵ = 13414242067453 is a prime.

It is a super-3 number, since 3×13414242100221³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414242100211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84577785 + ... + 84736238.

It is an arithmetic number, because the mean of its divisors is an integer number (1614860722904).

Almost surely, 2^{13414242100221} is an apocalyptic number.

It is an amenable number.

13414242100221 is a deficient number, since it is larger than the sum of its proper divisors (5964086574627).

13414242100221 is a wasteful number, since it uses less digits than its factorization.

13414242100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169322832 (or 169322829 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13414242100221 its reverse (12200124241431), we get a palindrome (25614366341652).

The spelling of 13414242100221 in words is "thirteen trillion, four hundred fourteen billion, two hundred forty-two million, one hundred thousand, two hundred twenty-one".