130011313 has 8 divisors (see below), whose sum is σ = 133384320. Its totient is φ = 126678480.

The previous prime is 130011311. The next prime is 130011361. The reversal of 130011313 is 313110031.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130011313 - 2¹ = 130011311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130011293 and 130011302.

It is not an unprimeable number, because it can be changed into a prime (130011311) 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 7 ways as a sum of consecutive naturals, for example, 3433 + ... + 16486.

It is an arithmetic number, because the mean of its divisors is an integer number (16673040).

Almost surely, 2^130011313 is an apocalyptic number.

It is an amenable number.

130011313 is a deficient number, since it is larger than the sum of its proper divisors (3373007).

130011313 is a wasteful number, since it uses less digits than its factorization.

130011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20087.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 130011313 is about 11402.2503480673. The cubic root of 130011313 is about 506.5943961920.

Adding to 130011313 its reverse (313110031), we get a palindrome (443121344).

The spelling of 130011313 in words is "one hundred thirty million, eleven thousand, three hundred thirteen".