230313012000 has 768 divisors, whose sum is σ = 828910817280. Its totient is φ = 55738368000.

The previous prime is 230313011989. The next prime is 230313012001. The reversal of 230313012000 is 210313032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (230313012001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 399155712 + ... + 399156288.

It is an arithmetic number, because the mean of its divisors is an integer number (1079310960).

Almost surely, 2^230313012000 is an apocalyptic number.

230313012000 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 230313012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414455408640).

230313012000 is an abundant number, since it is smaller than the sum of its proper divisors (598597805280).

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

230313012000 is a wasteful number, since it uses less digits than its factorization.

230313012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 230313012000 its reverse (210313032), we get a palindrome (230523325032).

The spelling of 230313012000 in words is "two hundred thirty billion, three hundred thirteen million, twelve thousand".