131164013506056 has 64 divisors (see below), whose sum is σ = 334654550222400. Its totient is φ = 42827343283200.

The previous prime is 131164013506051. The next prime is 131164013506067. The reversal of 131164013506056 is 650605310461131.

131164013506056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131164013505999 and 131164013506017.

It is not an unprimeable number, because it can be changed into a prime (131164013506051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164424085 + ... + 165219876.

It is an arithmetic number, because the mean of its divisors is an integer number (5228977347225).

Almost surely, 2^{131164013506056} is an apocalyptic number.

It is an amenable number.

131164013506056 is an abundant number, since it is smaller than the sum of its proper divisors (203490536716344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131164013506056 is a wasteful number, since it uses less digits than its factorization.

131164013506056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329644310 (or 329644306 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

Adding to 131164013506056 its reverse (650605310461131), we get a palindrome (781769323967187).

The spelling of 131164013506056 in words is "one hundred thirty-one trillion, one hundred sixty-four billion, thirteen million, five hundred six thousand, fifty-six".