230314343313000 has 128 divisors (see below), whose sum is σ = 718790098965120. Its totient is φ = 61399265241600.

The previous prime is 230314343312993. The next prime is 230314343313007. The reversal of 230314343313000 is 313343413032.

It is an interprime number because it is at equal distance from previous prime (230314343312993) and next prime (230314343313007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (230314343313007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882394 + ... + 21480393.

It is an arithmetic number, because the mean of its divisors is an integer number (5615547648165).

Almost surely, 2^{230314343313000} is an apocalyptic number.

230314343313000 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 230314343313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359395049482560).

230314343313000 is an abundant number, since it is smaller than the sum of its proper divisors (488475755652120).

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

230314343313000 is a wasteful number, since it uses less digits than its factorization.

230314343313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22366244 (or 22366230 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 230314343313000 its reverse (313343413032), we get a palindrome (230627686726032).

The spelling of 230314343313000 in words is "two hundred thirty trillion, three hundred fourteen billion, three hundred forty-three million, three hundred thirteen thousand".