3301123133100 has 144 divisors (see below), whose sum is σ = 10292841216000. Its totient is φ = 812040633600.

The previous prime is 3301123133081. The next prime is 3301123133179. The reversal of 3301123133100 is 13313211033.

It is a super-2 number, since 2×3301123133100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5563765 + ... + 6128435.

It is an arithmetic number, because the mean of its divisors is an integer number (71478064000).

Almost surely, 2^{3301123133100} is an apocalyptic number.

3301123133100 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 3301123133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146420608000).

3301123133100 is an abundant number, since it is smaller than the sum of its proper divisors (6991718082900).

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

3301123133100 is a wasteful number, since it uses less digits than its factorization.

3301123133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566200 (or 566193 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3301123133100 its reverse (13313211033), we get a palindrome (3314436344133).

The spelling of 3301123133100 in words is "three trillion, three hundred one billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred".