13130112 has 64 divisors (see below), whose sum is σ = 36034560. Its totient is φ = 4231680.

The previous prime is 13130087. The next prime is 13130113. The reversal of 13130112 is 21103131.

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

It is a super-2 number, since 2×13130112² = 344799682265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130113) 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, 11353 + ... + 12455.

It is an arithmetic number, because the mean of its divisors is an integer number (563040).

Almost surely, 2^13130112 is an apocalyptic number.

13130112 is a gapful number since it is divisible by the number (12) 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 13130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017280).

13130112 is an abundant number, since it is smaller than the sum of its proper divisors (22904448).

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

13130112 is a wasteful number, since it uses less digits than its factorization.

13130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13130112 is about 3623.5496408908. The cubic root of 13130112 is about 235.9153196142.

Adding to 13130112 its reverse (21103131), we get a palindrome (34233243).

The spelling of 13130112 in words is "thirteen million, one hundred thirty thousand, one hundred twelve".