230031321102000 has 960 divisors, whose sum is σ = 889708499297280. Its totient is φ = 54923904000000.

The previous prime is 230031321101983. The next prime is 230031321102001. The reversal of 230031321102000 is 201123130032.

230031321102000 is a `hidden beast` number, since 2 + 300 + 31 + 321 + 10 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230031321102001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14774950216 + ... + 14774965784.

It is an arithmetic number, because the mean of its divisors is an integer number (926779686768).

Almost surely, 2^{230031321102000} is an apocalyptic number.

230031321102000 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 230031321102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444854249648640).

230031321102000 is an abundant number, since it is smaller than the sum of its proper divisors (659677178195280).

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

230031321102000 is a wasteful number, since it uses less digits than its factorization.

230031321102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16731 (or 16712 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230031321102000 its reverse (201123130032), we get a palindrome (230232444232032).

The spelling of 230031321102000 in words is "two hundred thirty trillion, thirty-one billion, three hundred twenty-one million, one hundred two thousand".