1313312 has 96 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 460800.

The previous prime is 1313311. The next prime is 1313317. The reversal of 1313312 is 2133131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32012 + ... + 32052.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2^1313312 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 1313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

1313312 is an abundant number, since it is smaller than the sum of its proper divisors (2242912).

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

1313312 is a wasteful number, since it uses less digits than its factorization.

1313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its digits is 54, while the sum is 14.

The square root of 1313312 is about 1145.9982547980. The cubic root of 1313312 is about 109.5105526968.

Adding to 1313312 its reverse (2133131), we get a palindrome (3446443).

It can be divided in two parts, 131 and 3312, that added together give a palindrome (3443).

The spelling of 1313312 in words is "one million, three hundred thirteen thousand, three hundred twelve".