230112311013000 has 768 divisors, whose sum is σ = 868765834722240. Its totient is φ = 54566369280000.

The previous prime is 230112311012993. The next prime is 230112311013007. The reversal of 230112311013000 is 310113211032.

230112311013000 is a `hidden beast` number, since 2 + 30 + 1 + 1 + 231 + 101 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230112311012993) and next prime (230112311013007).

It can be written as a sum of positive squares in 32 ways, for example, as 33171448605156 + 196940862407844 = 5759466^2 + 14033562^2 .

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 (230112311013007) 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, 436965852 + ... + 437492148.

Almost surely, 2^{230112311013000} is an apocalyptic number.

230112311013000 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 230112311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434382917361120).

230112311013000 is an abundant number, since it is smaller than the sum of its proper divisors (638653523709240).

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

230112311013000 is a wasteful number, since it uses less digits than its factorization.

230112311013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526475 (or 526458 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 230112311013000 its reverse (310113211032), we get a palindrome (230422424224032).

The spelling of 230112311013000 in words is "two hundred thirty trillion, one hundred twelve billion, three hundred eleven million, thirteen thousand".