311144100111 has 96 divisors (see below), whose sum is σ = 525133539840. Its totient is φ = 175856355072.

The previous prime is 311144100083. The next prime is 311144100143. The reversal of 311144100111 is 111001441113.

311144100111 is a `hidden beast` number, since 3 + 111 + 441 + 0 + 0 + 111 = 666.

It is not a de Polignac number, because 311144100111 - 2⁵ = 311144100079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311144100151) 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, 23270350 + ... + 23283716.

It is an arithmetic number, because the mean of its divisors is an integer number (5470141040).

Almost surely, 2^311144100111 is an apocalyptic number.

311144100111 is a deficient number, since it is larger than the sum of its proper divisors (213989439729).

311144100111 is a wasteful number, since it uses less digits than its factorization.

311144100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13725 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 311144100111 its reverse (111001441113), we get a palindrome (422145541224).

The spelling of 311144100111 in words is "three hundred eleven billion, one hundred forty-four million, one hundred thousand, one hundred eleven".