3123313320000 has 560 divisors, whose sum is σ = 10599932185920. Its totient is φ = 811060224000.

The previous prime is 3123313319989. The next prime is 3123313320007. The reversal of 3123313320000 is 233133213.

It is not an unprimeable number, because it can be changed into a prime (3123313320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 884038234 + ... + 884041766.

It is an arithmetic number, because the mean of its divisors is an integer number (18928450332).

Almost surely, 2^{3123313320000} is an apocalyptic number.

3123313320000 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 3123313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299966092960).

3123313320000 is an abundant number, since it is smaller than the sum of its proper divisors (7476618865920).

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

3123313320000 is a wasteful number, since it uses less digits than its factorization.

3123313320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3123313320000 its reverse (233133213), we get a palindrome (3123546453213).

The spelling of 3123313320000 in words is "three trillion, one hundred twenty-three billion, three hundred thirteen million, three hundred twenty thousand".