130811328 has 224 divisors, whose sum is σ = 419526720. Its totient is φ = 39813120.

The previous prime is 130811321. The next prime is 130811357. The reversal of 130811328 is 823118031.

It is a super-2 number, since 2×130811328² = 34223207066247168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130811321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1791900 + ... + 1791972.

Almost surely, 2^130811328 is an apocalyptic number.

130811328 is a gapful number since it is divisible by the number (18) 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 130811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209763360).

130811328 is an abundant number, since it is smaller than the sum of its proper divisors (288715392).

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

130811328 is a wasteful number, since it uses less digits than its factorization.

130811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 130811328 is about 11437.2779978455. The cubic root of 130811328 is about 507.6313691639.

Adding to 130811328 its reverse (823118031), we get a palindrome (953929359).

The spelling of 130811328 in words is "one hundred thirty million, eight hundred eleven thousand, three hundred twenty-eight".