230313120 has 96 divisors (see below), whose sum is σ = 728699328. Its totient is φ = 61145088.

The previous prime is 230313119. The next prime is 230313121. The reversal of 230313120 is 21313032.

It is an interprime number because it is at equal distance from previous prime (230313119) and next prime (230313121).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230313120.

It is not an unprimeable number, because it can be changed into a prime (230313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122427 + ... + 124293.

It is an arithmetic number, because the mean of its divisors is an integer number (7590618).

Almost surely, 2^230313120 is an apocalyptic number.

230313120 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 230313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364349664).

230313120 is an abundant number, since it is smaller than the sum of its proper divisors (498386208).

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

230313120 is a wasteful number, since it uses less digits than its factorization.

230313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

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

The square root of 230313120 is about 15176.0706376848. The cubic root of 230313120 is about 612.9704795565.

Adding to 230313120 its reverse (21313032), we get a palindrome (251626152).

The spelling of 230313120 in words is "two hundred thirty million, three hundred thirteen thousand, one hundred twenty".