311144221133343 has 96 divisors (see below), whose sum is σ = 509782310419200. Its totient is φ = 181286774189568.

The previous prime is 311144221133303. The next prime is 311144221133387. The reversal of 311144221133343 is 343331122441113.

311144221133343 is a `hidden beast` number, since 3 + 1 + 114 + 422 + 113 + 3 + 3 + 4 + 3 = 666.

It is not a de Polignac number, because 311144221133343 - 2¹⁰ = 311144221132319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311144221133298 and 311144221133307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311144221133303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39550551696 + ... + 39550559562.

It is an arithmetic number, because the mean of its divisors is an integer number (5310232400200).

Almost surely, 2^{311144221133343} is an apocalyptic number.

311144221133343 is a deficient number, since it is larger than the sum of its proper divisors (198638089285857).

311144221133343 is a wasteful number, since it uses less digits than its factorization.

311144221133343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16341 (or 16338 counting only the distinct ones).

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

Adding to 311144221133343 its reverse (343331122441113), we get a palindrome (654475343574456).

The spelling of 311144221133343 in words is "three hundred eleven trillion, one hundred forty-four billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred forty-three".