131170013 has 8 divisors (see below), whose sum is σ = 142660056. Its totient is φ = 119880000.

The previous prime is 131170007. The next prime is 131170019. The reversal of 131170013 is 310071131.

It is an interprime number because it is at equal distance from previous prime (131170007) and next prime (131170019).

It can be written as a sum of positive squares in 4 ways, for example, as 67601284 + 63568729 = 8222^2 + 7973^2 .

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 131170013 - 2⁶ = 131169949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131169973 and 131170000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131170019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48638 + ... + 51263.

It is an arithmetic number, because the mean of its divisors is an integer number (17832507).

Almost surely, 2^131170013 is an apocalyptic number.

131170013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131170013 is a deficient number, since it is larger than the sum of its proper divisors (11490043).

131170013 is a wasteful number, since it uses less digits than its factorization.

131170013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100015.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 131170013 is about 11452.9477864871. The cubic root of 131170013 is about 508.0949212441.

The spelling of 131170013 in words is "one hundred thirty-one million, one hundred seventy thousand, thirteen".