131414104401021 has 12 divisors (see below), whose sum is σ = 204421940179548. Its totient is φ = 80870218092864.

The previous prime is 131414104401017. The next prime is 131414104401037. The reversal of 131414104401021 is 120104401414131.

131414104401021 is a `hidden beast` number, since 1 + 3 + 1 + 414 + 104 + 40 + 102 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50493033164025 + 80921071236996 = 7105845^2 + 8995614^2 .

It is not a de Polignac number, because 131414104401021 - 2² = 131414104401017 is a prime.

It is a super-2 number, since 2×131414104401021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414104401091) 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, 561598736640 + ... + 561598736873.

It is an arithmetic number, because the mean of its divisors is an integer number (17035161681629).

Almost surely, 2^{131414104401021} is an apocalyptic number.

It is an amenable number.

131414104401021 is a deficient number, since it is larger than the sum of its proper divisors (73007835778527).

131414104401021 is a wasteful number, since it uses less digits than its factorization.

131414104401021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123197473532 (or 1123197473529 counting only the distinct ones).

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

Adding to 131414104401021 its reverse (120104401414131), we get a palindrome (251518505815152).

The spelling of 131414104401021 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred four million, four hundred one thousand, twenty-one".