131350424033205 has 48 divisors (see below), whose sum is σ = 259610249873520. Its totient is φ = 60861010950144.

The previous prime is 131350424033159. The next prime is 131350424033221. The reversal of 131350424033205 is 502330424053131.

131350424033205 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 0 + 42 + 403 + 3 + 205 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23063132203281 + 108287291829924 = 4802409^2 + 10406118^2 .

It is not a de Polignac number, because 131350424033205 - 2⁶ = 131350424033141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131350424033205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6603832390 + ... + 6603852279.

It is an arithmetic number, because the mean of its divisors is an integer number (5408546872365).

Almost surely, 2^{131350424033205} is an apocalyptic number.

131350424033205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131350424033205 is a deficient number, since it is larger than the sum of its proper divisors (128259825840315).

131350424033205 is a wasteful number, since it uses less digits than its factorization.

131350424033205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207684710 (or 13207684707 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 131350424033205 its reverse (502330424053131), we get a palindrome (633680848086336).

The spelling of 131350424033205 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred twenty-four million, thirty-three thousand, two hundred five".