130303333120 has 144 divisors (see below), whose sum is σ = 319048450560. Its totient is φ = 50976387072.

The previous prime is 130303333093. The next prime is 130303333177. The reversal of 130303333120 is 21333303031.

It is a junction number, because it is equal to n+sod(n) for n = 130303333091 and 130303333100.

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 15 ways as a sum of consecutive naturals, for example, 10813819 + ... + 10825861.

It is an arithmetic number, because the mean of its divisors is an integer number (2215614240).

Almost surely, 2^130303333120 is an apocalyptic number.

130303333120 is a gapful number since it is divisible by the number (10) 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 130303333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159524225280).

130303333120 is an abundant number, since it is smaller than the sum of its proper divisors (188745117440).

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

130303333120 is a wasteful number, since it uses less digits than its factorization.

130303333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12250 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 130303333120 its reverse (21333303031), we get a palindrome (151636636151).

The spelling of 130303333120 in words is "one hundred thirty billion, three hundred three million, three hundred thirty-three thousand, one hundred twenty".