130001313 has 32 divisors (see below), whose sum is σ = 200100096. Its totient is φ = 74435328.

The previous prime is 130001297. The next prime is 130001351. The reversal of 130001313 is 313100031.

It is not a de Polignac number, because 130001313 - 2⁴ = 130001297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130001353) 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 in 31 ways as a sum of consecutive naturals, for example, 31231 + ... + 35147.

It is an arithmetic number, because the mean of its divisors is an integer number (6253128).

Almost surely, 2^130001313 is an apocalyptic number.

130001313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130001313 is a deficient number, since it is larger than the sum of its proper divisors (70098783).

130001313 is a wasteful number, since it uses less digits than its factorization.

130001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 130001313 is about 11401.8118297050. The cubic root of 130001313 is about 506.5814073893.

Adding to 130001313 its reverse (313100031), we get a palindrome (443101344).

The spelling of 130001313 in words is "one hundred thirty million, one thousand, three hundred thirteen".