230301122101320 has 256 divisors, whose sum is σ = 696808330444800. Its totient is φ = 60890693345280.

The previous prime is 230301122101307. The next prime is 230301122101357. The reversal of 230301122101320 is 23101221103032.

It is a super-2 number, since 2×230301122101320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20802191385 + ... + 20802202455.

It is an arithmetic number, because the mean of its divisors is an integer number (2721907540800).

Almost surely, 2^{230301122101320} is an apocalyptic number.

230301122101320 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 230301122101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348404165222400).

230301122101320 is an abundant number, since it is smaller than the sum of its proper divisors (466507208343480).

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

230301122101320 is a wasteful number, since it uses less digits than its factorization.

230301122101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13700 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 230301122101320 its reverse (23101221103032), we get a palindrome (253402343204352).

The spelling of 230301122101320 in words is "two hundred thirty trillion, three hundred one billion, one hundred twenty-two million, one hundred one thousand, three hundred twenty".