131310 has 24 divisors (see below), whose sum is σ = 341640. Its totient is φ = 34992.

The previous prime is 131303. The next prime is 131311. The reversal of 131310 is 13131.

It is a super-2 number, since 2×131310² = 34484632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131292 and 131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311) by changing a digit.

131310 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (14235).

2¹³¹³¹⁰ is an apocalyptic number.

131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131310 is an abundant number, since it is smaller than the sum of its proper divisors (210330).

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

131310 is a wasteful number, since it uses less digits than its factorization.

131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1469 counting only the distinct ones).

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

The square root of 131310 is about 362.3672170603. The cubic root of 131310 is about 50.8275606333.

Adding to 131310 its reverse (13131), we get a palindrome (144441).

It can be divided in two parts, 131 and 310, that added together give a square (441 = 21²).

The spelling of 131310 in words is "one hundred thirty-one thousand, three hundred ten".