320113000300 has 72 divisors (see below), whose sum is σ = 709729574400. Its totient is φ = 125267016000.

The previous prime is 320113000267. The next prime is 320113000301. The reversal of 320113000300 is 3000311023.

It is a super-2 number, since 2×320113000300² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320113000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11976351 + ... + 12003049.

It is an arithmetic number, because the mean of its divisors is an integer number (9857355200).

Almost surely, 2^320113000300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320113000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354864787200).

320113000300 is an abundant number, since it is smaller than the sum of its proper divisors (389616574100).

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

320113000300 is a wasteful number, since it uses less digits than its factorization.

320113000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29311 (or 29304 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 320113000300 its reverse (3000311023), we get a palindrome (323113311323).

The spelling of 320113000300 in words is "three hundred twenty billion, one hundred thirteen million, three hundred", and thus it is an aban number.