130537313 has 2 divisors, whose sum is σ = 130537314. Its totient is φ = 130537312.

The previous prime is 130537307. The next prime is 130537327. The reversal of 130537313 is 313735031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67699984 + 62837329 = 8228^2 + 7927^2 .

It is an emirp because it is prime and its reverse (313735031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130537313 - 2¹⁸ = 130275169 is a prime.

It is not a weakly prime, because it can be changed into another prime (130537333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65268656 + 65268657.

It is an arithmetic number, because the mean of its divisors is an integer number (65268657).

Almost surely, 2^130537313 is an apocalyptic number.

It is an amenable number.

130537313 is a deficient number, since it is larger than the sum of its proper divisors (1).

130537313 is an equidigital number, since it uses as much as digits as its factorization.

130537313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 26.

The square root of 130537313 is about 11425.2926877170. The cubic root of 130537313 is about 507.2766704034.

The spelling of 130537313 in words is "one hundred thirty million, five hundred thirty-seven thousand, three hundred thirteen".