130430313 has 36 divisors (see below), whose sum is σ = 211112460. Its totient is φ = 77470848.

The previous prime is 130430303. The next prime is 130430317. The reversal of 130430313 is 313034031.

It can be written as a sum of positive squares in 6 ways, for example, as 35426304 + 95004009 = 5952^2 + 9747^2 .

It is not a de Polignac number, because 130430313 - 2⁶ = 130430249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130430317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42631 + ... + 45587.

It is an arithmetic number, because the mean of its divisors is an integer number (5864235).

Almost surely, 2^130430313 is an apocalyptic number.

130430313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130430313 is a deficient number, since it is larger than the sum of its proper divisors (80682147).

130430313 is a wasteful number, since it uses less digits than its factorization.

130430313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130430313 is about 11420.6091343676. The cubic root of 130430313 is about 507.1380294796.

Adding to 130430313 its reverse (313034031), we get a palindrome (443464344).

The spelling of 130430313 in words is "one hundred thirty million, four hundred thirty thousand, three hundred thirteen".