114031132345305 has 24 divisors (see below), whose sum is σ = 225890243122752. Its totient is φ = 52128517643424.

The previous prime is 114031132345297. The next prime is 114031132345309. The reversal of 114031132345305 is 503543231130411.

114031132345305 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 1 + 1 + 3 + 2 + 345 + 305 = 666.

It is not a de Polignac number, because 114031132345305 - 2³ = 114031132345297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114031132345305.

It is not an unprimeable number, because it can be changed into a prime (114031132345309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181001797059 + ... + 181001797688.

It is an arithmetic number, because the mean of its divisors is an integer number (9412093463448).

Almost surely, 2^{114031132345305} is an apocalyptic number.

114031132345305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114031132345305 is a deficient number, since it is larger than the sum of its proper divisors (111859110777447).

114031132345305 is a wasteful number, since it uses less digits than its factorization.

114031132345305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362003594765 (or 362003594762 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 114031132345305 its reverse (503543231130411), we get a palindrome (617574363475716).

The spelling of 114031132345305 in words is "one hundred fourteen trillion, thirty-one billion, one hundred thirty-two million, three hundred forty-five thousand, three hundred five".