131003561005 has 16 divisors (see below), whose sum is σ = 161226649584. Its totient is φ = 102127237120.

The previous prime is 131003560993. The next prime is 131003561011. The reversal of 131003561005 is 500165300131.

It can be written as a sum of positive squares in 8 ways, for example, as 1451076649 + 129552484356 = 38093^2 + 359934^2 .

It is not a de Polignac number, because 131003561005 - 2¹⁷ = 131003429933 is a prime.

It is a super-2 number, since 2×131003561005² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197152 + ... + 548521.

It is an arithmetic number, because the mean of its divisors is an integer number (10076665599).

Almost surely, 2^131003561005 is an apocalyptic number.

It is an amenable number.

131003561005 is a deficient number, since it is larger than the sum of its proper divisors (30223088579).

131003561005 is an equidigital number, since it uses as much as digits as its factorization.

131003561005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746576.

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 131003561005 its reverse (500165300131), we get a palindrome (631168861136).

The spelling of 131003561005 in words is "one hundred thirty-one billion, three million, five hundred sixty-one thousand, five".