311123040321113 has 16 divisors (see below), whose sum is σ = 314801791041024. Its totient is φ = 307454123880960.

The previous prime is 311123040321097. The next prime is 311123040321157.

311123040321113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311123040321113 - 2⁴ = 311123040321097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311123040321713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277077656 + ... + 278198262.

It is an arithmetic number, because the mean of its divisors is an integer number (19675111940064).

Almost surely, 2^{311123040321113} is an apocalyptic number.

It is an amenable number.

311123040321113 is a deficient number, since it is larger than the sum of its proper divisors (3678750719911).

311123040321113 is a wasteful number, since it uses less digits than its factorization.

311123040321113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124992.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 311123040321113 in words is "three hundred eleven trillion, one hundred twenty-three billion, forty million, three hundred twenty-one thousand, one hundred thirteen".