131004105817 has 8 divisors (see below), whose sum is σ = 141797496456. Its totient is φ = 120313022592.

The previous prime is 131004105809. The next prime is 131004105839. The reversal of 131004105817 is 718501400131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2711909776 + 128292196041 = 52076^2 + 358179^2 .

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 131004105817 - 2³ = 131004105809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131004105857) 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, 25574188 + ... + 25579309.

It is an arithmetic number, because the mean of its divisors is an integer number (17724687057).

Almost surely, 2^131004105817 is an apocalyptic number.

It is an amenable number.

131004105817 is a deficient number, since it is larger than the sum of its proper divisors (10793390639).

131004105817 is a wasteful number, since it uses less digits than its factorization.

131004105817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51153707.

The product of its (nonzero) digits is 3360, while the sum is 31.

Adding to 131004105817 its reverse (718501400131), we get a palindrome (849505505948).

The spelling of 131004105817 in words is "one hundred thirty-one billion, four million, one hundred five thousand, eight hundred seventeen".