131115350305005 has 24 divisors (see below), whose sum is σ = 230589640870176. Its totient is φ = 63571078934880.

The previous prime is 131115350305003. The next prime is 131115350305007. The reversal of 131115350305005 is 500503053511131.

It is an interprime number because it is at equal distance from previous prime (131115350305003) and next prime (131115350305007).

It is not a de Polignac number, because 131115350305005 - 2¹ = 131115350305003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131115350305003) 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, 36119929399 + ... + 36119933028.

It is an arithmetic number, because the mean of its divisors is an integer number (9607901702924).

Almost surely, 2^{131115350305005} is an apocalyptic number.

131115350305005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131115350305005 is a deficient number, since it is larger than the sum of its proper divisors (99474290565171).

131115350305005 is a wasteful number, since it uses less digits than its factorization.

131115350305005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72239862457 (or 72239862446 counting only the distinct ones).

The product of its (nonzero) digits is 16875, while the sum is 33.

The spelling of 131115350305005 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred fifty million, three hundred five thousand, five".