311824428113 has 16 divisors (see below), whose sum is σ = 355898880000. Its totient is φ = 270436153680.

The previous prime is 311824428109. The next prime is 311824428119.

It is a happy number.

311824428113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311824428113 - 2² = 311824428109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311824428119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530113 + ... + 1721886.

It is an arithmetic number, because the mean of its divisors is an integer number (22243680000).

Almost surely, 2^311824428113 is an apocalyptic number.

It is an amenable number.

311824428113 is a deficient number, since it is larger than the sum of its proper divisors (44074451887).

311824428113 is a wasteful number, since it uses less digits than its factorization.

311824428113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252412.

The product of its digits is 36864, while the sum is 38.

It can be divided in two parts, 311824 and 428113, that added together give a palindrome (739937).

The spelling of 311824428113 in words is "three hundred eleven billion, eight hundred twenty-four million, four hundred twenty-eight thousand, one hundred thirteen".