131085395805 has 192 divisors, whose sum is σ = 278809509888. Its totient is φ = 51063851520.

The previous prime is 131085395789. The next prime is 131085395873. The reversal of 131085395805 is 508593580131.

It is not a de Polignac number, because 131085395805 - 2⁴ = 131085395789 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357180732 + ... + 357181098.

It is an arithmetic number, because the mean of its divisors is an integer number (1452132864).

Almost surely, 2^131085395805 is an apocalyptic number.

131085395805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131085395805 is an abundant number, since it is smaller than the sum of its proper divisors (147724114083).

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

131085395805 is a wasteful number, since it uses less digits than its factorization.

131085395805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 131085395805 in words is "one hundred thirty-one billion, eighty-five million, three hundred ninety-five thousand, eight hundred five".