230123313000 has 768 divisors, whose sum is σ = 918849484800. Its totient is φ = 50848819200.

The previous prime is 230123312999. The next prime is 230123313019. The reversal of 230123313000 is 313321032.

230123313000 is a `hidden beast` number, since 2 + 30 + 1 + 2 + 331 + 300 + 0 = 666.

230123313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 627038817 + ... + 627039183.

It is an arithmetic number, because the mean of its divisors is an integer number (1196418600).

Almost surely, 2^230123313000 is an apocalyptic number.

230123313000 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 230123313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459424742400).

230123313000 is an abundant number, since it is smaller than the sum of its proper divisors (688726171800).

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

230123313000 is a wasteful number, since it uses less digits than its factorization.

230123313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

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

Adding to 230123313000 its reverse (313321032), we get a palindrome (230436634032).

The spelling of 230123313000 in words is "two hundred thirty billion, one hundred twenty-three million, three hundred thirteen thousand".