• Sorting the digits of 2⁹³¹³ in ascending order we obtain a prime of 2520 digits.

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9313 has 4 divisors (see below), whose sum is σ = 9520. Its totient is φ = 9108.

The previous prime is 9311. The next prime is 9319. The reversal of 9313 is 3139.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 3139 = 43 ⋅73.

It is a cyclic number.

It is not a de Polignac number, because 9313 - 2¹ = 9311 is a prime.

It is an Ulam number.

It is the 97-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9311) by changing a digit.

It is a nontrivial repunit in base 96.

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 3 ways as a sum of consecutive naturals, for example, 3 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (2380).

2⁹³¹³ is an apocalyptic number.

It is an amenable number.

9313 is a deficient number, since it is larger than the sum of its proper divisors (207).

9313 is a wasteful number, since it uses less digits than its factorization.

9313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its digits is 81, while the sum is 16.

The square root of 9313 is about 96.5038859321. The cubic root of 9313 is about 21.0392312750.

The spelling of 9313 in words is "nine thousand, three hundred thirteen".