3321313100 has 108 divisors (see below), whose sum is σ = 8417648736. Its totient is φ = 1134161280.

The previous prime is 3321313081. The next prime is 3321313109. The reversal of 3321313100 is 13131233.

It is a super-2 number, since 2×3321313100² = 22062241416463220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321313109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356077 + ... + 1358523.

It is an arithmetic number, because the mean of its divisors is an integer number (77941192).

Almost surely, 2^3321313100 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 3321313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208824368).

3321313100 is an abundant number, since it is smaller than the sum of its proper divisors (5096335636).

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

3321313100 is a wasteful number, since it uses less digits than its factorization.

3321313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3321313100 is about 57630.8346286951. The cubic root of 3321313100 is about 1492.0038351599.

Adding to 3321313100 its reverse (13131233), we get a palindrome (3334444333).

The spelling of 3321313100 in words is "three billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred".