223313103212100 has 288 divisors, whose sum is σ = 736242067491840. Its totient is φ = 51762258240000.

The previous prime is 223313103212011. The next prime is 223313103212131. The reversal of 223313103212100 is 1212301313322.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1470426 + ... + 21184625.

It is an arithmetic number, because the mean of its divisors is an integer number (2556396067680).

Almost surely, 2^{223313103212100} is an apocalyptic number.

223313103212100 is a gapful number since it is divisible by the number (20) 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 223313103212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368121033745920).

223313103212100 is an abundant number, since it is smaller than the sum of its proper divisors (512928964279740).

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

223313103212100 is a wasteful number, since it uses less digits than its factorization.

223313103212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22655211 (or 22655204 counting only the distinct ones).

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

Adding to 223313103212100 its reverse (1212301313322), we get a palindrome (224525404525422).

The spelling of 223313103212100 in words is "two hundred twenty-three trillion, three hundred thirteen billion, one hundred three million, two hundred twelve thousand, one hundred".