311013312013201 has 6 divisors (see below), whose sum is σ = 361790995607250. Its totient is φ = 266582838868416.

The previous prime is 311013312013177. The next prime is 311013312013213. The reversal of 311013312013201 is 102310213310113.

It can be written as a sum of positive squares in only one way, i.e., 173011905253201 + 138001406760000 = 13153399^2 + 11747400^2 .

It is not a de Polignac number, because 311013312013201 - 2²⁵ = 311013278458769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311013312013241) 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 5 ways as a sum of consecutive naturals, for example, 3173605224576 + ... + 3173605224673.

It is an arithmetic number, because the mean of its divisors is an integer number (60298499267875).

Almost surely, 2^{311013312013201} is an apocalyptic number.

It is an amenable number.

311013312013201 is a deficient number, since it is larger than the sum of its proper divisors (50777683594049).

311013312013201 is an equidigital number, since it uses as much as digits as its factorization.

311013312013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347210449263 (or 6347210449256 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 311013312013201 its reverse (102310213310113), we get a palindrome (413323525323314).

The spelling of 311013312013201 in words is "three hundred eleven trillion, thirteen billion, three hundred twelve million, thirteen thousand, two hundred one".