311000113 has 8 divisors (see below), whose sum is σ = 328346720. Its totient is φ = 293751360.

The previous prime is 311000099. The next prime is 311000161.

311000113 is nontrivially palindromic in base 10.

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 311000113 - 2²¹ = 308902961 is a prime.

It is a super-5 number, since 5×311000113⁵ (a number of 44 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311000113.

It is not an unprimeable number, because it can be changed into a prime (311000713) 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, 17883 + ... + 30688.

It is an arithmetic number, because the mean of its divisors is an integer number (41043340).

Almost surely, 2^311000113 is an apocalyptic number.

It is an amenable number.

311000113 is a deficient number, since it is larger than the sum of its proper divisors (17346607).

311000113 is a wasteful number, since it uses less digits than its factorization.

311000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48927.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 311000113 is about 17635.1952923692. The cubic root of 311000113 is about 677.5169772846.

It can be divided in two parts, 311000 and 113, that added together give a palindrome (311113).

The spelling of 311000113 in words is "three hundred eleven million, one hundred thirteen", and thus it is an aban number.