13130172 has 72 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 3914400.

The previous prime is 13130147. The next prime is 13130177. The reversal of 13130172 is 27103131.

13130172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27883 + ... + 28349.

It is an arithmetic number, because the mean of its divisors is an integer number (511056).

Almost surely, 2^13130172 is an apocalyptic number.

13130172 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 13130172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

13130172 is an abundant number, since it is smaller than the sum of its proper divisors (23665860).

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

13130172 is a wasteful number, since it uses less digits than its factorization.

13130172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13130172 is about 3623.5579200559. The cubic root of 13130172 is about 235.9156789637.

It can be divided in two parts, 131 and 30172, that added together give a palindrome (30303).

The spelling of 13130172 in words is "thirteen million, one hundred thirty thousand, one hundred seventy-two".