223320010013100 has 864 divisors, whose sum is σ = 965240073348096. Its totient is φ = 41676909004800.

The previous prime is 223320010013099. The next prime is 223320010013119. The reversal of 223320010013100 is 1310010023322.

223320010013100 is a `hidden beast` number, since 2 + 23 + 320 + 0 + 10 + 0 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×223320010013100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29983497 + ... + 36683103.

Almost surely, 2^{223320010013100} is an apocalyptic number.

223320010013100 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 223320010013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482620036674048).

223320010013100 is an abundant number, since it is smaller than the sum of its proper divisors (741920063334996).

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

223320010013100 is a wasteful number, since it uses less digits than its factorization.

223320010013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699695 (or 6699685 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223320010013100 its reverse (1310010023322), we get a palindrome (224630020036422).

The spelling of 223320010013100 in words is "two hundred twenty-three trillion, three hundred twenty billion, ten million, thirteen thousand, one hundred".