311334303433113 has 48 divisors (see below), whose sum is σ = 477665583042960. Its totient is φ = 194729636708352.

The previous prime is 311334303433093. The next prime is 311334303433157.

311334303433113 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 3 + 4 + 303 + 4 + 331 + 13 = 666.

311334303433113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 106107963960384 + 205226339472729 = 10300872^2 + 14325723^2 .

It is not a de Polignac number, because 311334303433113 - 2¹⁷ = 311334303302041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311334303433313) 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 47 ways as a sum of consecutive naturals, for example, 58702473 + ... + 63785961.

It is an arithmetic number, because the mean of its divisors is an integer number (9951366313395).

Almost surely, 2^{311334303433113} is an apocalyptic number.

It is an amenable number.

311334303433113 is a deficient number, since it is larger than the sum of its proper divisors (166331279609847).

311334303433113 is a wasteful number, since it uses less digits than its factorization.

311334303433113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084778 (or 5084775 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

It can be divided in two parts, 31133430 and 3433113, that added together give a palindrome (34566543).

The spelling of 311334303433113 in words is "three hundred eleven trillion, three hundred thirty-four billion, three hundred three million, four hundred thirty-three thousand, one hundred thirteen".