301313130120 has 128 divisors (see below), whose sum is σ = 1005209481600. Its totient is φ = 80283578112.

The previous prime is 301313130109. The next prime is 301313130149. The reversal of 301313130120 is 21031313103.

It is a happy number.

301313130120 is a `hidden beast` number, since 30 + 1 + 313 + 1 + 301 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 301313130093 and 301313130102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1195039 + ... + 1425041.

It is an arithmetic number, because the mean of its divisors is an integer number (7853199075).

Almost surely, 2^301313130120 is an apocalyptic number.

301313130120 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 301313130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502604740800).

301313130120 is an abundant number, since it is smaller than the sum of its proper divisors (703896351480).

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

301313130120 is a wasteful number, since it uses less digits than its factorization.

301313130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231236 (or 231226 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 301313130120 its reverse (21031313103), we get a palindrome (322344443223).

The spelling of 301313130120 in words is "three hundred one billion, three hundred thirteen million, one hundred thirty thousand, one hundred twenty".