130013312 has 64 divisors (see below), whose sum is σ = 304335360. Its totient is φ = 54543360.

The previous prime is 130013311. The next prime is 130013339. The reversal of 130013312 is 213310031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×130013312² = 33806922594418688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130013311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14753 + ... + 21855.

It is an arithmetic number, because the mean of its divisors is an integer number (4755240).

Almost surely, 2^130013312 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 130013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167680).

130013312 is an abundant number, since it is smaller than the sum of its proper divisors (174322048).

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

130013312 is a wasteful number, since it uses less digits than its factorization.

130013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7129 counting only the distinct ones).

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

The square root of 130013312 is about 11402.3380058653. The cubic root of 130013312 is about 506.5969925737.

Adding to 130013312 its reverse (213310031), we get a palindrome (343323343).

It can be divided in two parts, 1300 and 13312, that multiplied together give a square (17305600 = 4160²).

The spelling of 130013312 in words is "one hundred thirty million, thirteen thousand, three hundred twelve".