130040313 has 16 divisors (see below), whose sum is σ = 196553280. Its totient is φ = 75812544.

The previous prime is 130040297. The next prime is 130040341. The reversal of 130040313 is 313040031.

It is not a de Polignac number, because 130040313 - 2⁴ = 130040297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130040292 and 130040301.

It is not an unprimeable number, because it can be changed into a prime (130020313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87006 + ... + 88487.

It is an arithmetic number, because the mean of its divisors is an integer number (12284580).

Almost surely, 2^130040313 is an apocalyptic number.

130040313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130040313 is a deficient number, since it is larger than the sum of its proper divisors (66512967).

130040313 is a wasteful number, since it uses less digits than its factorization.

130040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175528.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130040313 is about 11403.5219559573. The cubic root of 130040313 is about 506.6320599536.

Adding to 130040313 its reverse (313040031), we get a palindrome (443080344).

The spelling of 130040313 in words is "one hundred thirty million, forty thousand, three hundred thirteen".