131214041112013 has 12 divisors (see below), whose sum is σ = 139623997901472. Its totient is φ = 123285183673280.

The previous prime is 131214041111987. The next prime is 131214041112043. The reversal of 131214041112013 is 310211140412131.

It is not a de Polignac number, because 131214041112013 - 2⁹ = 131214041111501 is a prime.

It is a super-2 number, since 2×131214041112013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214041112043) 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 11 ways as a sum of consecutive naturals, for example, 386566153 + ... + 386905438.

It is an arithmetic number, because the mean of its divisors is an integer number (11635333158456).

Almost surely, 2^{131214041112013} is an apocalyptic number.

It is an amenable number.

131214041112013 is a deficient number, since it is larger than the sum of its proper divisors (8409956789459).

131214041112013 is an equidigital number, since it uses as much as digits as its factorization.

131214041112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773472212 (or 773472195 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 131214041112013 its reverse (310211140412131), we get a palindrome (441425181524144).

The spelling of 131214041112013 in words is "one hundred thirty-one trillion, two hundred fourteen billion, forty-one million, one hundred twelve thousand, thirteen".