311221122113 has 8 divisors (see below), whose sum is σ = 339518234496. Its totient is φ = 282924723600.

The previous prime is 311221122109. The next prime is 311221122119.

311221122113 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311221122113 - 2² = 311221122109 is a prime.

It is a super-3 number, since 3×311221122113³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311221122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1188095 + ... + 1426187.

It is an arithmetic number, because the mean of its divisors is an integer number (42439779312).

Almost surely, 2^311221122113 is an apocalyptic number.

It is an amenable number.

311221122113 is a deficient number, since it is larger than the sum of its proper divisors (28297112383).

311221122113 is a wasteful number, since it uses less digits than its factorization.

311221122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356935.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 311221 and 122113, that added together give a palindrome (433334).

The spelling of 311221122113 in words is "three hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred thirteen".