131414242414131 has 12 divisors (see below), whose sum is σ = 194950858116352. Its totient is φ = 85241670754896.

The previous prime is 131414242414129. The next prime is 131414242414139.

131414242414131 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 424 + 24 + 141 + 31 = 666.

131414242414131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131414242414131 - 2¹ = 131414242414129 is a prime.

It is a super-2 number, since 2×131414242414131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131414242414139) 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, 197318681971 + ... + 197318682636.

Almost surely, 2^{131414242414131} is an apocalyptic number.

131414242414131 is a deficient number, since it is larger than the sum of its proper divisors (63536615702221).

131414242414131 is a wasteful number, since it uses less digits than its factorization.

131414242414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394637364650 (or 394637364647 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 131414242414131 in words is "one hundred thirty-one trillion, four hundred fourteen billion, two hundred forty-two million, four hundred fourteen thousand, one hundred thirty-one".