23330323313000 has 256 divisors, whose sum is σ = 60454465344000. Its totient is φ = 8355997440000.

The previous prime is 23330323312991. The next prime is 23330323313051. The reversal of 23330323313000 is 31332303332.

It is a super-2 number, since 2×23330323313000² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 819254762 + ... + 819283238.

It is an arithmetic number, because the mean of its divisors is an integer number (236150255250).

Almost surely, 2^{23330323313000} is an apocalyptic number.

23330323313000 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 23330323313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227232672000).

23330323313000 is an abundant number, since it is smaller than the sum of its proper divisors (37124142031000).

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

23330323313000 is a wasteful number, since it uses less digits than its factorization.

23330323313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29629 (or 29615 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 23330323313000 its reverse (31332303332), we get a palindrome (23361655616332).

The spelling of 23330323313000 in words is "twenty-three trillion, three hundred thirty billion, three hundred twenty-three million, three hundred thirteen thousand".