104414241334131 has 24 divisors (see below), whose sum is σ = 151198844719104. Its totient is φ = 69434911238400.

The previous prime is 104414241334043. The next prime is 104414241334177. The reversal of 104414241334131 is 131433142414401.

104414241334131 is a `hidden beast` number, since 1 + 0 + 4 + 41 + 4 + 241 + 3 + 341 + 31 = 666.

It is not a de Polignac number, because 104414241334131 - 2⁷ = 104414241334003 is a prime.

It is a super-3 number, since 3×104414241334131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (104414241330131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321352605 + ... + 321677361.

It is an arithmetic number, because the mean of its divisors is an integer number (6299951863296).

Almost surely, 2^{104414241334131} is an apocalyptic number.

104414241334131 is a deficient number, since it is larger than the sum of its proper divisors (46784603384973).

104414241334131 is a wasteful number, since it uses less digits than its factorization.

104414241334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414251 (or 414248 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 104414241334131 its reverse (131433142414401), we get a palindrome (235847383748532).

The spelling of 104414241334131 in words is "one hundred four trillion, four hundred fourteen billion, two hundred forty-one million, three hundred thirty-four thousand, one hundred thirty-one".