130301300120 has 256 divisors, whose sum is σ = 333088848000. Its totient is φ = 45624950784.

The previous prime is 130301300119. The next prime is 130301300123. The reversal of 130301300120 is 21003103031.

It is a junction number, because it is equal to n+sod(n) for n = 130301300095 and 130301300104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301300123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78070646 + ... + 78072314.

Almost surely, 2^130301300120 is an apocalyptic number.

130301300120 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 130301300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166544424000).

130301300120 is an abundant number, since it is smaller than the sum of its proper divisors (202787547880).

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

130301300120 is a wasteful number, since it uses less digits than its factorization.

130301300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130301300120 its reverse (21003103031), we get a palindrome (151304403151).

The spelling of 130301300120 in words is "one hundred thirty billion, three hundred one million, three hundred thousand, one hundred twenty".