3313223222100 has 432 divisors, whose sum is σ = 10792608353856. Its totient is φ = 783879782400.

The previous prime is 3313223222083. The next prime is 3313223222107. The reversal of 3313223222100 is 12223223133.

3313223222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313223222107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 371308239 + ... + 371317161.

It is an arithmetic number, because the mean of its divisors is an integer number (24982889708).

Almost surely, 2^{3313223222100} is an apocalyptic number.

3313223222100 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 3313223222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396304176928).

3313223222100 is an abundant number, since it is smaller than the sum of its proper divisors (7479385131756).

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

3313223222100 is a wasteful number, since it uses less digits than its factorization.

3313223222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3313223222100 its reverse (12223223133), we get a palindrome (3325446445233).

It can be divided in two parts, 33132 and 23222100, that added together give a palindrome (23255232).

The spelling of 3313223222100 in words is "three trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred twenty-two thousand, one hundred".