1313 has 4 divisors (see below), whose sum is σ = 1428. Its totient is φ = 1200.

The previous prime is 1307. The next prime is 1319. The reversal of 1313 is 3131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3131 = 31 ⋅101.

It is an interprime number because it is at equal distance from previous prime (1307) and next prime (1319).

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 529 = 28^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313 - 2⁴ = 1297 is a prime.

It is an Ulam number.

It is a Duffinian number.

1313 is an undulating number in base 10.

It is a plaindrome in base 14.

It is a nialpdrome in base 11 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1313.

It is not an unprimeable number, because it can be changed into a prime (1319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 63.

It is an arithmetic number, because the mean of its divisors is an integer number (357).

1313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313 is a deficient number, since it is larger than the sum of its proper divisors (115).

1313 is a wasteful number, since it uses less digits than its factorization.

1313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its digits is 9, while the sum is 8.

The square root of 1313 is about 36.2353418640. The cubic root of 1313 is about 10.9501879967.

Adding to 1313 its reverse (3131), we get a palindrome (4444).

It can be divided in two parts, 131 and 3, that multiplied together give a palindrome (393).

The spelling of 1313 in words is "one thousand, three hundred thirteen".