3323112313311 has 288 divisors, whose sum is σ = 6231940416000. Its totient is φ = 1693251495936.

The previous prime is 3323112313201. The next prime is 3323112313321. The reversal of 3323112313311 is 1133132113233.

3323112313311 is a `hidden beast` number, since 3 + 3 + 2 + 31 + 1 + 2 + 313 + 311 = 666.

It is not a de Polignac number, because 3323112313311 - 2¹⁴ = 3323112296927 is a prime.

It is a super-4 number, since 4×3323112313311⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323112313321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5368517160 + ... + 5368517778.

It is an arithmetic number, because the mean of its divisors is an integer number (21638682000).

Almost surely, 2^{3323112313311} is an apocalyptic number.

3323112313311 is a deficient number, since it is larger than the sum of its proper divisors (2908828102689).

3323112313311 is a wasteful number, since it uses less digits than its factorization.

3323112313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 3323112313311 its reverse (1133132113233), we get a palindrome (4456244426544).

The spelling of 3323112313311 in words is "three trillion, three hundred twenty-three billion, one hundred twelve million, three hundred thirteen thousand, three hundred eleven".