3113233233120 has 384 divisors, whose sum is σ = 11136032409600. Its totient is φ = 811956566016.

The previous prime is 3113233233059. The next prime is 3113233233133. The reversal of 3113233233120 is 213323323113.

3113233233120 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 23 + 323 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338869167 + ... + 338878353.

It is an arithmetic number, because the mean of its divisors is an integer number (29000084400).

Almost surely, 2^{3113233233120} is an apocalyptic number.

3113233233120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113233233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568016204800).

3113233233120 is an abundant number, since it is smaller than the sum of its proper divisors (8022799176480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3113233233120 is a wasteful number, since it uses less digits than its factorization.

3113233233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10927 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3113233233120 its reverse (213323323113), we get a palindrome (3326556556233).

The spelling of 3113233233120 in words is "three trillion, one hundred thirteen billion, two hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty".