130130816 has 32 divisors (see below), whose sum is σ = 262180800. Its totient is φ = 64328704.

The previous prime is 130130779. The next prime is 130130821. The reversal of 130130816 is 618031031.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 130130791 and 130130800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5681 + ... + 17103.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2^130130816 is an apocalyptic number.

130130816 is a gapful number since it is divisible by the number (16) 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 130130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131090400).

130130816 is an abundant number, since it is smaller than the sum of its proper divisors (132049984).

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

130130816 is an equidigital number, since it uses as much as digits as its factorization.

130130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 130130816 is about 11407.4894696423. The cubic root of 130130816 is about 506.7495647677.

Adding to 130130816 its reverse (618031031), we get a palindrome (748161847).

The spelling of 130130816 in words is "one hundred thirty million, one hundred thirty thousand, eight hundred sixteen".