311142343241113 has 32 divisors (see below), whose sum is σ = 334832461786368. Its totient is φ = 288089286912000.

The previous prime is 311142343241083. The next prime is 311142343241131.

311142343241113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311142343241113 - 2³⁷ = 311004904287641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311142343241413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722653806 + ... + 723084232.

It is an arithmetic number, because the mean of its divisors is an integer number (10463514430824).

Almost surely, 2^{311142343241113} is an apocalyptic number.

It is an amenable number.

311142343241113 is a deficient number, since it is larger than the sum of its proper divisors (23690118545255).

311142343241113 is a wasteful number, since it uses less digits than its factorization.

311142343241113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433233.

The product of its digits is 20736, while the sum is 34.

The spelling of 311142343241113 in words is "three hundred eleven trillion, one hundred forty-two billion, three hundred forty-three million, two hundred forty-one thousand, one hundred thirteen".