300313232130120 has 256 divisors, whose sum is σ = 986748108410880. Its totient is φ = 72514009497600.

The previous prime is 300313232130077. The next prime is 300313232130169. The reversal of 300313232130120 is 21031232313003.

It is a super-2 number, since 2×300313232130120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5306703025 + ... + 5306759615.

It is an arithmetic number, because the mean of its divisors is an integer number (3854484798480).

Almost surely, 2^{300313232130120} is an apocalyptic number.

300313232130120 is a gapful number since it is divisible by the number (30) 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 300313232130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493374054205440).

300313232130120 is an abundant number, since it is smaller than the sum of its proper divisors (686434876280760).

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

300313232130120 is a wasteful number, since it uses less digits than its factorization.

300313232130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72516 (or 72512 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 300313232130120 its reverse (21031232313003), we get a palindrome (321344464443123).

The spelling of 300313232130120 in words is "three hundred trillion, three hundred thirteen billion, two hundred thirty-two million, one hundred thirty thousand, one hundred twenty".