311244202442113 has 8 divisors (see below), whose sum is σ = 312363650104200. Its totient is φ = 310124838589440.

The previous prime is 311244202442083. The next prime is 311244202442189.

311244202442113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 71466193397824 + 239778009044289 = 8453768^2 + 15484767^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311244202442113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311244202442213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13506820 + ... + 28371157.

It is an arithmetic number, because the mean of its divisors is an integer number (39045456263025).

Almost surely, 2^{311244202442113} is an apocalyptic number.

It is an amenable number.

311244202442113 is a deficient number, since it is larger than the sum of its proper divisors (1119447662087).

311244202442113 is a wasteful number, since it uses less digits than its factorization.

311244202442113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41904707.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 31124420 and 2442113, that added together give a palindrome (33566533).

The spelling of 311244202442113 in words is "three hundred eleven trillion, two hundred forty-four billion, two hundred two million, four hundred forty-two thousand, one hundred thirteen".