130113984 has 224 divisors, whose sum is σ = 462905856. Its totient is φ = 31150080.

The previous prime is 130113983. The next prime is 130113989. The reversal of 130113984 is 489311031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113983) 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, 191854 + ... + 192530.

It is an arithmetic number, because the mean of its divisors is an integer number (2066544).

Almost surely, 2^130113984 is an apocalyptic number.

130113984 is a gapful number since it is divisible by the number (14) 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 130113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231452928).

130113984 is an abundant number, since it is smaller than the sum of its proper divisors (332791872).

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

130113984 is a wasteful number, since it uses less digits than its factorization.

130113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 130113984 is about 11406.7516848575. The cubic root of 130113984 is about 506.7277150201.

The spelling of 130113984 in words is "one hundred thirty million, one hundred thirteen thousand, nine hundred eighty-four".