130311 has 6 divisors (see below), whose sum is σ = 188240. Its totient is φ = 86868.

The previous prime is 130307. The next prime is 130337. The reversal of 130311 is 113031.

It is not a de Polignac number, because 130311 - 2² = 130307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 14479 = 130311 / (1 + 3 + 0 + 3 + 1 + 1).

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 130293 and 130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130211) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7231 + ... + 7248.

2¹³⁰³¹¹ is an apocalyptic number.

130311 is a deficient number, since it is larger than the sum of its proper divisors (57929).

130311 is a wasteful number, since it uses less digits than its factorization.

130311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14485 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130311 is about 360.9861493188. The cubic root of 130311 is about 50.6983345041.

Adding to 130311 its reverse (113031), we get a palindrome (243342).

It can be divided in two parts, 130 and 311, that added together give a square (441 = 21²).

The spelling of 130311 in words is "one hundred thirty thousand, three hundred eleven".