230313233100000 has 576 divisors, whose sum is σ = 787832363501568. Its totient is φ = 58856528640000.

The previous prime is 230313233099987. The next prime is 230313233100017. The reversal of 230313233100000 is 1332313032.

It is a super-3 number, since 3×230313233100000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 230313233100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683531569 + ... + 683868431.

It is an arithmetic number, because the mean of its divisors is an integer number (1367764519968).

Almost surely, 2^{230313233100000} is an apocalyptic number.

230313233100000 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 230313233100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393916181750784).

230313233100000 is an abundant number, since it is smaller than the sum of its proper divisors (557519130401568).

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

230313233100000 is an equidigital number, since it uses as much as digits as its factorization.

230313233100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336997 (or 336969 counting only the distinct ones).

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

Adding to 230313233100000 its reverse (1332313032), we get a palindrome (230314565413032).

The spelling of 230313233100000 in words is "two hundred thirty trillion, three hundred thirteen billion, two hundred thirty-three million, one hundred thousand".