311122113201 has 12 divisors (see below), whose sum is σ = 449639338512. Its totient is φ = 207303635736.

The previous prime is 311122113187. The next prime is 311122113229. The reversal of 311122113201 is 102311221113.

311122113201 is a `hidden beast` number, since 311 + 1 + 22 + 11 + 320 + 1 = 666.

It is not a de Polignac number, because 311122113201 - 2¹⁹ = 311121588913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311122113301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9241131 + ... + 9274736.

It is an arithmetic number, because the mean of its divisors is an integer number (37469944876).

Almost surely, 2^311122113201 is an apocalyptic number.

It is an amenable number.

311122113201 is a deficient number, since it is larger than the sum of its proper divisors (138517225311).

311122113201 is a wasteful number, since it uses less digits than its factorization.

311122113201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18517740 (or 18517737 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 311122113201 its reverse (102311221113), we get a palindrome (413433334314).

The spelling of 311122113201 in words is "three hundred eleven billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred one".