130561312 has 48 divisors (see below), whose sum is σ = 309234240. Its totient is φ = 53008128.

The previous prime is 130561307. The next prime is 130561339. The reversal of 130561312 is 213165031.

It is a happy number.

It is a super-2 number, since 2×130561312² = 34092512382322688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11083 + ... + 19594.

It is an arithmetic number, because the mean of its divisors is an integer number (6442380).

Almost surely, 2^130561312 is an apocalyptic number.

It is an amenable number.

130561312 is an abundant number, since it is smaller than the sum of its proper divisors (178672928).

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

130561312 is a wasteful number, since it uses less digits than its factorization.

130561312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30713 (or 30705 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 130561312 is about 11426.3428970078. The cubic root of 130561312 is about 507.3077557346.

The spelling of 130561312 in words is "one hundred thirty million, five hundred sixty-one thousand, three hundred twelve".