311344113343041 has 24 divisors (see below), whose sum is σ = 450008197102464. Its totient is φ = 207429434798400.

The previous prime is 311344113342907. The next prime is 311344113343079. The reversal of 311344113343041 is 140343311443113.

311344113343041 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 4 + 4 + 11 + 334 + 304 + 1 = 666.

It is not a de Polignac number, because 311344113343041 - 2⁹ = 311344113342529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311344113342987 and 311344113343005.

It is not an unprimeable number, because it can be changed into a prime (311344113343441) 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 23 ways as a sum of consecutive naturals, for example, 88890316 + ... + 92326466.

It is an arithmetic number, because the mean of its divisors is an integer number (18750341545936).

Almost surely, 2^{311344113343041} is an apocalyptic number.

It is an amenable number.

311344113343041 is a deficient number, since it is larger than the sum of its proper divisors (138664083759423).

311344113343041 is a wasteful number, since it uses less digits than its factorization.

311344113343041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442621 (or 3442618 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 311344113343041 its reverse (140343311443113), we get a palindrome (451687424786154).

The spelling of 311344113343041 in words is "three hundred eleven trillion, three hundred forty-four billion, one hundred thirteen million, three hundred forty-three thousand, forty-one".