3113330311312 has 120 divisors (see below), whose sum is σ = 6954226854120. Its totient is φ = 1344921477120.

The previous prime is 3113330311283. The next prime is 3113330311319. The reversal of 3113330311312 is 2131130333113.

It can be written as a sum of positive squares in 12 ways, for example, as 1655843945616 + 1457486365696 = 1286796^2 + 1207264^2 .

It is a super-2 number, since 2×3113330311312² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3113330311319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8133114 + ... + 8507302.

It is an arithmetic number, because the mean of its divisors is an integer number (57951890451).

Almost surely, 2^{3113330311312} 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 3113330311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477113427060).

3113330311312 is an abundant number, since it is smaller than the sum of its proper divisors (3840896542808).

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

3113330311312 is a wasteful number, since it uses less digits than its factorization.

3113330311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374421 (or 374402 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 3113330311312 its reverse (2131130333113), we get a palindrome (5244460644425).

The spelling of 3113330311312 in words is "three trillion, one hundred thirteen billion, three hundred thirty million, three hundred eleven thousand, three hundred twelve".