311221113201013 has 16 divisors (see below), whose sum is σ = 327846342853120. Its totient is φ = 294620462286336.

The previous prime is 311221113200981. The next prime is 311221113201049. The reversal of 311221113201013 is 310102311122113.

It is a cyclic number.

It is not a de Polignac number, because 311221113201013 - 2⁵ = 311221113200981 is a prime.

It is a super-3 number, since 3×311221113201013³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311221113201413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181704145 + ... + 183408937.

It is an arithmetic number, because the mean of its divisors is an integer number (20490396428320).

Almost surely, 2^{311221113201013} is an apocalyptic number.

It is an amenable number.

311221113201013 is a deficient number, since it is larger than the sum of its proper divisors (16625229652107).

311221113201013 is a wasteful number, since it uses less digits than its factorization.

311221113201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711996.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 311221113201013 its reverse (310102311122113), we get a palindrome (621323424323126).

The spelling of 311221113201013 in words is "three hundred eleven trillion, two hundred twenty-one billion, one hundred thirteen million, two hundred one thousand, thirteen".