114541115131413 has 36 divisors (see below), whose sum is σ = 175754693247588. Its totient is φ = 71868248478720.

The previous prime is 114541115131393. The next prime is 114541115131427. The reversal of 114541115131413 is 314131511145411.

114541115131413 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 111 + 513 + 14 + 13 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11639608185969 + 102901506945444 = 3411687^2 + 10144038^2 .

It is not a de Polignac number, because 114541115131413 - 2⁹ = 114541115130901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114541115141413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 510154545 + ... + 510379017.

It is an arithmetic number, because the mean of its divisors is an integer number (4882074812433).

Almost surely, 2^{114541115131413} is an apocalyptic number.

It is an amenable number.

114541115131413 is a deficient number, since it is larger than the sum of its proper divisors (61213578116175).

114541115131413 is a wasteful number, since it uses less digits than its factorization.

114541115131413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420694 (or 420674 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

Adding to 114541115131413 its reverse (314131511145411), we get a palindrome (428672626276824).

The spelling of 114541115131413 in words is "one hundred fourteen trillion, five hundred forty-one billion, one hundred fifteen million, one hundred thirty-one thousand, four hundred thirteen".