131005173611116 has 48 divisors (see below), whose sum is σ = 269094190208256. Its totient is φ = 54627136046784.

The previous prime is 131005173611107. The next prime is 131005173611197. The reversal of 131005173611116 is 611116371500131.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124778331 + ... + 125823853.

It is an arithmetic number, because the mean of its divisors is an integer number (5606128962672).

Almost surely, 2^{131005173611116} is an apocalyptic number.

It is an amenable number.

131005173611116 is an abundant number, since it is smaller than the sum of its proper divisors (138089016597140).

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

131005173611116 is a wasteful number, since it uses less digits than its factorization.

131005173611116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166518 (or 1166516 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 131005173611116 in words is "one hundred thirty-one trillion, five billion, one hundred seventy-three million, six hundred eleven thousand, one hundred sixteen".