130312 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 51264.

The previous prime is 130307. The next prime is 130337. The reversal of 130312 is 213031.

It is an unprimeable number.

130312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 817.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹³⁰³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

130312 is an abundant number, since it is smaller than the sum of its proper divisors (172088).

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

130312 is a wasteful number, since it uses less digits than its factorization.

130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 130312 is about 360.9875344108. The cubic root of 130312 is about 50.6984641892.

Adding to 130312 its reverse (213031), we get a palindrome (343343).

It can be divided in two parts, 13031 and 2, that multiplied together give a palindrome (26062).

The spelling of 130312 in words is "one hundred thirty thousand, three hundred twelve".