311404202404113 has 16 divisors (see below), whose sum is σ = 511022280868736. Its totient is φ = 164257161707520.

The previous prime is 311404202404081. The next prime is 311404202404117.

It is a happy number.

311404202404113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311404202404113 - 2⁵ = 311404202404081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311404202404117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570337366768 + ... + 570337367313.

It is an arithmetic number, because the mean of its divisors is an integer number (31938892554296).

Almost surely, 2^{311404202404113} is an apocalyptic number.

It is an amenable number.

311404202404113 is a deficient number, since it is larger than the sum of its proper divisors (199618078464623).

311404202404113 is a wasteful number, since it uses less digits than its factorization.

311404202404113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140674734104.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 31140420 and 2404113, that added together give a palindrome (33544533).

The spelling of 311404202404113 in words is "three hundred eleven trillion, four hundred four billion, two hundred two million, four hundred four thousand, one hundred thirteen".