311313 has 8 divisors (see below), whose sum is σ = 425376. Its totient is φ = 202400.

The previous prime is 311303. The next prime is 311323. The reversal of 311313 is 313113.

It is an interprime number because it is at equal distance from previous prime (311303) and next prime (311323).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311313 - 2⁹ = 310801 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311303) 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 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (53172).

2³¹¹³¹³ is an apocalyptic number.

It is an amenable number.

311313 is a deficient number, since it is larger than the sum of its proper divisors (114063).

311313 is a wasteful number, since it uses less digits than its factorization.

311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575.

The product of its digits is 27, while the sum is 12.

The square root of 311313 is about 557.9542992038. The cubic root of 311313 is about 67.7744110325.

Adding to 311313 its reverse (313113), we get a palindrome (624426).

The spelling of 311313 in words is "three hundred eleven thousand, three hundred thirteen".