223333013000 has 256 divisors, whose sum is σ = 560916195840. Its totient is φ = 83026944000.

The previous prime is 223333012997. The next prime is 223333013021. The reversal of 223333013000 is 310333322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238348532 + ... + 238349468.

It is an arithmetic number, because the mean of its divisors is an integer number (2191078890).

Almost surely, 2^223333013000 is an apocalyptic number.

223333013000 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 223333013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280458097920).

223333013000 is an abundant number, since it is smaller than the sum of its proper divisors (337583182840).

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

223333013000 is a wasteful number, since it uses less digits than its factorization.

223333013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 223333013000 its reverse (310333322), we get a palindrome (223643346322).

The spelling of 223333013000 in words is "two hundred twenty-three billion, three hundred thirty-three million, thirteen thousand".