131345501015205 has 24 divisors (see below), whose sum is σ = 228159386615160. Its totient is φ = 69898979560320.

The previous prime is 131345501015177. The next prime is 131345501015219. The reversal of 131345501015205 is 502510105543131.

131345501015205 is a `hidden beast` number, since 1 + 3 + 1 + 345 + 5 + 0 + 101 + 5 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24318055019556 + 107027445995649 = 4931334^2 + 10345407^2 .

It is not a de Polignac number, because 131345501015205 - 2¹⁴ = 131345500998821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131345501015205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3165693910 + ... + 3165735399.

It is an arithmetic number, because the mean of its divisors is an integer number (9506641108965).

Almost surely, 2^{131345501015205} is an apocalyptic number.

131345501015205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131345501015205 is a deficient number, since it is larger than the sum of its proper divisors (96813885599955).

131345501015205 is a wasteful number, since it uses less digits than its factorization.

131345501015205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331429781 (or 6331429778 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 131345501015205 its reverse (502510105543131), we get a palindrome (633855606558336).

The spelling of 131345501015205 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred one million, fifteen thousand, two hundred five".