131141134114013 has 8 divisors (see below), whose sum is σ = 135663710129400. Its totient is φ = 126618589294848.

The previous prime is 131141134113991. The next prime is 131141134114117. The reversal of 131141134114013 is 310411431141131.

It can be written as a sum of positive squares in 4 ways, for example, as 5359234260004 + 125781899854009 = 2315002^2 + 11215253^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131141134114013 - 2⁶ = 131141134113949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141134114313) 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 7 ways as a sum of consecutive naturals, for example, 918593 + ... + 16221161.

It is an arithmetic number, because the mean of its divisors is an integer number (16957963766175).

Almost surely, 2^{131141134114013} is an apocalyptic number.

It is an amenable number.

131141134114013 is a deficient number, since it is larger than the sum of its proper divisors (4522576015387).

131141134114013 is a wasteful number, since it uses less digits than its factorization.

131141134114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15598111.

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 131141134114013 its reverse (310411431141131), we get a palindrome (441552565255144).

The spelling of 131141134114013 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred thirty-four million, one hundred fourteen thousand, thirteen".