23213133000 has 192 divisors, whose sum is σ = 79240327920. Its totient is φ = 6128640000.

The previous prime is 23213132993. The next prime is 23213133037. The reversal of 23213133000 is 33131232.

23213133000 is a `hidden beast` number, since 2 + 321 + 313 + 30 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11139958116 + 12073174884 = 105546^2 + 109878^2 .

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896232 + ... + 921768.

Almost surely, 2^23213133000 is an apocalyptic number.

23213133000 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 23213133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39620163960).

23213133000 is an abundant number, since it is smaller than the sum of its proper divisors (56027194920).

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

23213133000 is a wasteful number, since it uses less digits than its factorization.

23213133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25665 (or 25648 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23213133000 its reverse (33131232), we get a palindrome (23246264232).

The spelling of 23213133000 in words is "twenty-three billion, two hundred thirteen million, one hundred thirty-three thousand".