130005312 has 28 divisors (see below), whose sum is σ = 343972896. Its totient is φ = 43335040.

The previous prime is 130005299. The next prime is 130005313. The reversal of 130005312 is 213500031.

It is a happy number.

130005312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130005312² = 33802762296434688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130005291 and 130005300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130005313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338364 + ... + 338747.

Almost surely, 2^130005312 is an apocalyptic number.

130005312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130005312 is an abundant number, since it is smaller than the sum of its proper divisors (213967584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130005312 is an equidigital number, since it uses as much as digits as its factorization.

130005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677126 (or 677116 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 130005312 is about 11401.9871952217. The cubic root of 130005312 is about 506.5866016914.

Adding to 130005312 its reverse (213500031), we get a palindrome (343505343).

The spelling of 130005312 in words is "one hundred thirty million, five thousand, three hundred twelve".