131302031104009 has 8 divisors (see below), whose sum is σ = 131417946099720. Its totient is φ = 131186127072000.

The previous prime is 131302031104003. The next prime is 131302031104021. The reversal of 131302031104009 is 900401130203131.

It can be written as a sum of positive squares in 4 ways, for example, as 45257910760000 + 86044120344009 = 6727400^2 + 9275997^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131302031104009 - 2¹⁵ = 131302031071241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131302031104003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21314907 + ... + 26775535.

It is an arithmetic number, because the mean of its divisors is an integer number (16427243262465).

Almost surely, 2^{131302031104009} is an apocalyptic number.

It is an amenable number.

131302031104009 is a deficient number, since it is larger than the sum of its proper divisors (115914995711).

131302031104009 is a wasteful number, since it uses less digits than its factorization.

131302031104009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481851.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 131302031104009 in words is "one hundred thirty-one trillion, three hundred two billion, thirty-one million, one hundred four thousand, nine".