130131000313 has 2 divisors, whose sum is σ = 130131000314. Its totient is φ = 130131000312.

The previous prime is 130131000301. The next prime is 130131000341. The reversal of 130131000313 is 313000131031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105252878329 + 24878121984 = 324427^2 + 157728^2 .

It is a cyclic number.

It is not a de Polignac number, because 130131000313 - 2⁵ = 130131000281 is a prime.

It is not a weakly prime, because it can be changed into another prime (130131003313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65065500156 + 65065500157.

It is an arithmetic number, because the mean of its divisors is an integer number (65065500157).

Almost surely, 2^130131000313 is an apocalyptic number.

It is an amenable number.

130131000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

130131000313 is an equidigital number, since it uses as much as digits as its factorization.

130131000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 130131000313 its reverse (313000131031), we get a palindrome (443131131344).

The spelling of 130131000313 in words is "one hundred thirty billion, one hundred thirty-one million, three hundred thirteen", and thus it is an aban number.