131321219985 has 48 divisors (see below), whose sum is σ = 236997987408. Its totient is φ = 67209523200.

The previous prime is 131321219977. The next prime is 131321220001. The reversal of 131321219985 is 589912123131.

131321219985 is a `hidden beast` number, since 1 + 31 + 321 + 219 + 9 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23928686721 + 107392533264 = 154689^2 + 327708^2 .

It is not a de Polignac number, because 131321219985 - 2³ = 131321219977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131321219985.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470872 + ... + 695961.

It is an arithmetic number, because the mean of its divisors is an integer number (4937458071).

Almost surely, 2^131321219985 is an apocalyptic number.

131321219985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131321219985 is a deficient number, since it is larger than the sum of its proper divisors (105676767423).

131321219985 is a wasteful number, since it uses less digits than its factorization.

131321219985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166946 (or 1166943 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 131321219985 in words is "one hundred thirty-one billion, three hundred twenty-one million, two hundred nineteen thousand, nine hundred eighty-five".