311340100041 has 12 divisors (see below), whose sum is σ = 454349700532. Its totient is φ = 205420271616.

The previous prime is 311340100033. The next prime is 311340100079. The reversal of 311340100041 is 140001043113.

311340100041 is a `hidden beast` number, since 311 + 340 + 10 + 0 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246631424400 + 64708675641 = 496620^2 + 254379^2 .

It is not a de Polignac number, because 311340100041 - 2³ = 311340100033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311340099987 and 311340100023.

It is not an unprimeable number, because it can be changed into a prime (311340100081) 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, 178315336 + ... + 178317081.

Almost surely, 2^311340100041 is an apocalyptic number.

It is an amenable number.

311340100041 is a deficient number, since it is larger than the sum of its proper divisors (143009600491).

311340100041 is a wasteful number, since it uses less digits than its factorization.

311340100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356632520 (or 356632517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 311340100041 its reverse (140001043113), we get a palindrome (451341143154).

The spelling of 311340100041 in words is "three hundred eleven billion, three hundred forty million, one hundred thousand, forty-one".