4134311122311 has 12 divisors (see below), whose sum is σ = 5974971108288. Its totient is φ = 2754735856704.

The previous prime is 4134311122273. The next prime is 4134311122343. The reversal of 4134311122311 is 1132211134314.

4134311122311 is a `hidden beast` number, since 4 + 1 + 3 + 431 + 1 + 1 + 223 + 1 + 1 = 666.

It is not a de Polignac number, because 4134311122311 - 2¹¹ = 4134311120263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134311122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122612055 + ... + 122645768.

It is an arithmetic number, because the mean of its divisors is an integer number (497914259024).

Almost surely, 2^{4134311122311} is an apocalyptic number.

4134311122311 is a deficient number, since it is larger than the sum of its proper divisors (1840659985977).

4134311122311 is a wasteful number, since it uses less digits than its factorization.

4134311122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245259702 (or 245259699 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 4134311122311 its reverse (1132211134314), we get a palindrome (5266522256625).

The spelling of 4134311122311 in words is "four trillion, one hundred thirty-four billion, three hundred eleven million, one hundred twenty-two thousand, three hundred eleven".