311440343412313 has 8 divisors (see below), whose sum is σ = 312654898541160. Its totient is φ = 310225809408000.

The previous prime is 311440343412287. The next prime is 311440343412329. The reversal of 311440343412313 is 313214343044113.

It can be written as a sum of positive squares in 4 ways, for example, as 66957348466009 + 244482994946304 = 8182747^2 + 15635952^2 .

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 311440343412313 - 2³⁷ = 311302904458841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311440343412013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24591313 + ... + 35037313.

It is an arithmetic number, because the mean of its divisors is an integer number (39081862317645).

Almost surely, 2^{311440343412313} is an apocalyptic number.

It is an amenable number.

311440343412313 is a deficient number, since it is larger than the sum of its proper divisors (1214555128847).

311440343412313 is a wasteful number, since it uses less digits than its factorization.

311440343412313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562267.

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 311440343412313 its reverse (313214343044113), we get a palindrome (624654686456426).

The spelling of 311440343412313 in words is "three hundred eleven trillion, four hundred forty billion, three hundred forty-three million, four hundred twelve thousand, three hundred thirteen".