103313 has 4 divisors (see below), whose sum is σ = 118080. Its totient is φ = 88548.

The previous prime is 103307. The next prime is 103319. The reversal of 103313 is 313301.

103313 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (103307) and next prime (103319).

It is a cyclic number.

It is not a de Polignac number, because 103313 - 2¹⁴ = 86929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103294 and 103303.

It is not an unprimeable number, because it can be changed into a prime (103319) 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, 7373 + ... + 7386.

It is an arithmetic number, because the mean of its divisors is an integer number (29520).

2¹⁰³³¹³ is an apocalyptic number.

It is an amenable number.

103313 is a deficient number, since it is larger than the sum of its proper divisors (14767).

103313 is an equidigital number, since it uses as much as digits as its factorization.

103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14766.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 103313 is about 321.4233967837. The cubic root of 103313 is about 46.9229157445.

Adding to 103313 its reverse (313301), we get a palindrome (416614).

The spelling of 103313 in words is "one hundred three thousand, three hundred thirteen".