131005056473757 has 48 divisors (see below), whose sum is σ = 201921987284160. Its totient is φ = 81604833682176.

The previous prime is 131005056473701. The next prime is 131005056473771. The reversal of 131005056473757 is 757374650500131.

131005056473757 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 5 + 0 + 564 + 7 + 3 + 75 + 7 = 666.

It is not a de Polignac number, because 131005056473757 - 2⁶ = 131005056473693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131005056453757) by changing a digit.

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, 794672743 + ... + 794837579.

It is an arithmetic number, because the mean of its divisors is an integer number (4206708068420).

Almost surely, 2^{131005056473757} is an apocalyptic number.

It is an amenable number.

131005056473757 is a deficient number, since it is larger than the sum of its proper divisors (70916930810403).

131005056473757 is a wasteful number, since it uses less digits than its factorization.

131005056473757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228602 (or 228599 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 131005056473757 in words is "one hundred thirty-one trillion, five billion, fifty-six million, four hundred seventy-three thousand, seven hundred fifty-seven".