3321431213100 has 576 divisors, whose sum is σ = 12921732956160. Its totient is φ = 636150297600.

The previous prime is 3321431213003. The next prime is 3321431213117. The reversal of 3321431213100 is 13121341233.

It is a super-2 number, since 2×3321431213100² (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 191 ways as a sum of consecutive naturals, for example, 215908009 + ... + 215923391.

It is an arithmetic number, because the mean of its divisors is an integer number (22433564160).

Almost surely, 2^{3321431213100} is an apocalyptic number.

3321431213100 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 3321431213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460866478080).

3321431213100 is an abundant number, since it is smaller than the sum of its proper divisors (9600301743060).

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

3321431213100 is a wasteful number, since it uses less digits than its factorization.

3321431213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3321431213100 its reverse (13121341233), we get a palindrome (3334552554333).

The spelling of 3321431213100 in words is "three trillion, three hundred twenty-one billion, four hundred thirty-one million, two hundred thirteen thousand, one hundred".