130313664 has 112 divisors (see below), whose sum is σ = 412638240. Its totient is φ = 40089600.

The previous prime is 130313641. The next prime is 130313731. The reversal of 130313664 is 466313031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19564 + ... + 25364.

It is an arithmetic number, because the mean of its divisors is an integer number (3684270).

Almost surely, 2^130313664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206319120).

130313664 is an abundant number, since it is smaller than the sum of its proper divisors (282324576).

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

130313664 is a wasteful number, since it uses less digits than its factorization.

130313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 130313664 is about 11415.5010402522. The cubic root of 130313664 is about 506.9867998384.

Adding to 130313664 its reverse (466313031), we get a palindrome (596626695).

The spelling of 130313664 in words is "one hundred thirty million, three hundred thirteen thousand, six hundred sixty-four".