223330133001000 has 512 divisors, whose sum is σ = 731261291904000. Its totient is φ = 56668598784000.

The previous prime is 223330133000981. The next prime is 223330133001067. The reversal of 223330133001000 is 100331033322.

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 127 ways as a sum of consecutive naturals, for example, 19945527402 + ... + 19945538598.

It is an arithmetic number, because the mean of its divisors is an integer number (1428244710750).

Almost surely, 2^{223330133001000} is an apocalyptic number.

223330133001000 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 223330133001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365630645952000).

223330133001000 is an abundant number, since it is smaller than the sum of its proper divisors (507931158903000).

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

223330133001000 is a wasteful number, since it uses less digits than its factorization.

223330133001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550 (or 14536 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 223330133001000 its reverse (100331033322), we get a palindrome (223430464034322).

The spelling of 223330133001000 in words is "two hundred twenty-three trillion, three hundred thirty billion, one hundred thirty-three million, one thousand".