3110113120000 has 360 divisors, whose sum is σ = 8062915291200. Its totient is φ = 1195493376000.

The previous prime is 3110113119991. The next prime is 3110113120021. The reversal of 3110113120000 is 213110113.

It is a super-2 number, since 2×3110113120000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062558537 + ... + 1062561463.

It is an arithmetic number, because the mean of its divisors is an integer number (22396986920).

Almost surely, 2^{3110113120000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3110113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031457645600).

3110113120000 is an abundant number, since it is smaller than the sum of its proper divisors (4952802171200).

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

3110113120000 is an equidigital number, since it uses as much as digits as its factorization.

3110113120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 3110113120000 its reverse (213110113), we get a palindrome (3110326230113).

The spelling of 3110113120000 in words is "three trillion, one hundred ten billion, one hundred thirteen million, one hundred twenty thousand".