131009985 has 12 divisors (see below), whose sum is σ = 227084052. Its totient is φ = 69871968.

The previous prime is 131009953. The next prime is 131009993. The reversal of 131009985 is 589900131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32524209 + 98485776 = 5703^2 + 9924^2 .

It is not a de Polignac number, because 131009985 - 2⁵ = 131009953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455622 + ... + 1455711.

It is an arithmetic number, because the mean of its divisors is an integer number (18923671).

Almost surely, 2^131009985 is an apocalyptic number.

131009985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131009985 is a deficient number, since it is larger than the sum of its proper divisors (96074067).

131009985 is a wasteful number, since it uses less digits than its factorization.

131009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911344 (or 2911341 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 131009985 is about 11445.9593306983. The cubic root of 131009985 is about 507.8882111367. Note that the first 3 decimals are identical.

The spelling of 131009985 in words is "one hundred thirty-one million, nine thousand, nine hundred eighty-five".