311111313 has 8 divisors (see below), whose sum is σ = 415246176. Its totient is φ = 207192000.

The previous prime is 311111309. The next prime is 311111347. The reversal of 311111313 is 313111113.

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

It is not a de Polignac number, because 311111313 - 2² = 311111309 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 311111292 and 311111301.

It is not an unprimeable number, because it can be changed into a prime (311111303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50488 + ... + 56313.

It is an arithmetic number, because the mean of its divisors is an integer number (51905772).

Almost surely, 2^311111313 is an apocalyptic number.

It is an amenable number.

311111313 is a deficient number, since it is larger than the sum of its proper divisors (104134863).

311111313 is a wasteful number, since it uses less digits than its factorization.

311111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107775.

The product of its digits is 27, while the sum is 15.

The square root of 311111313 is about 17638.3477967751. The cubic root of 311111313 is about 677.5977177807.

Adding to 311111313 its reverse (313111113), we get a palindrome (624222426).

The spelling of 311111313 in words is "three hundred eleven million, one hundred eleven thousand, three hundred thirteen".