311431110021311 has 16 divisors (see below), whose sum is σ = 365545304085504. Its totient is φ = 259723104109344.

The previous prime is 311431110021299. The next prime is 311431110021359. The reversal of 311431110021311 is 113120011134113.

It is a cyclic number.

It is not a de Polignac number, because 311431110021311 - 2⁶ = 311431110021247 is a prime.

It is a super-3 number, since 3×311431110021311³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311431110021391) 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, 13529546 + ... + 28388568.

It is an arithmetic number, because the mean of its divisors is an integer number (22846581505344).

Almost surely, 2^{311431110021311} is an apocalyptic number.

311431110021311 is a deficient number, since it is larger than the sum of its proper divisors (54114194064193).

311431110021311 is a wasteful number, since it uses less digits than its factorization.

311431110021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14939990.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 311431110021311 its reverse (113120011134113), we get a palindrome (424551121155424).

The spelling of 311431110021311 in words is "three hundred eleven trillion, four hundred thirty-one billion, one hundred ten million, twenty-one thousand, three hundred eleven".