131414410102221 has 6 divisors (see below), whose sum is σ = 189820814592110. Its totient is φ = 87609606734808.

The previous prime is 131414410102181. The next prime is 131414410102229. The reversal of 131414410102221 is 122201014414131.

131414410102221 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 14 + 410 + 10 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83195468534025 + 48218941568196 = 9121155^2 + 6943986^2 .

It is not a de Polignac number, because 131414410102221 - 2¹⁹ = 131414409577933 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 (131414410102229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7300800561226 + ... + 7300800561243.

Almost surely, 2^{131414410102221} is an apocalyptic number.

It is an amenable number.

131414410102221 is a deficient number, since it is larger than the sum of its proper divisors (58406404489889).

131414410102221 is a wasteful number, since it uses less digits than its factorization.

131414410102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14601601122475 (or 14601601122472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131414410102221 its reverse (122201014414131), we get a palindrome (253615424516352).

The spelling of 131414410102221 in words is "one hundred thirty-one trillion, four hundred fourteen billion, four hundred ten million, one hundred two thousand, two hundred twenty-one".