122313 has 4 divisors (see below), whose sum is σ = 163088. Its totient is φ = 81540.

The previous prime is 122299. The next prime is 122321. The reversal of 122313 is 313221.

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.

It is not a de Polignac number, because 122313 - 2¹⁴ = 105929 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

122313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20383 + ... + 20388.

It is an arithmetic number, because the mean of its divisors is an integer number (40772).

2¹²²³¹³ is an apocalyptic number.

It is an amenable number.

122313 is a deficient number, since it is larger than the sum of its proper divisors (40775).

122313 is an equidigital number, since it uses as much as digits as its factorization.

122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40774.

The product of its digits is 36, while the sum is 12.

The square root of 122313 is about 349.7327551145. The cubic root of 122313 is about 49.6391351300.

Adding to 122313 its reverse (313221), we get a palindrome (435534).

It can be divided in two parts, 122 and 313, that added together give a triangular number (435 = T₂₉).

The spelling of 122313 in words is "one hundred twenty-two thousand, three hundred thirteen".