3301130332122 has 192 divisors, whose sum is σ = 8166164480640. Its totient is φ = 885347366400.

The previous prime is 3301130332121. The next prime is 3301130332139. The reversal of 3301130332122 is 2212330311033.

3301130332122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3301130332122² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3301130332092 and 3301130332101.

It is not an unprimeable number, because it can be changed into a prime (3301130332121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495587472 + ... + 495594132.

It is an arithmetic number, because the mean of its divisors is an integer number (42532106670).

Almost surely, 2^{3301130332122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301130332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083082240320).

3301130332122 is an abundant number, since it is smaller than the sum of its proper divisors (4865034148518).

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

3301130332122 is a wasteful number, since it uses less digits than its factorization.

3301130332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3301130332122 its reverse (2212330311033), we get a palindrome (5513460643155).

The spelling of 3301130332122 in words is "three trillion, three hundred one billion, one hundred thirty million, three hundred thirty-two thousand, one hundred twenty-two".