13125120 has 80 divisors (see below), whose sum is σ = 41983920. Its totient is φ = 3497984.

The previous prime is 13125113. The next prime is 13125127. The reversal of 13125120 is 2152131.

It is an interprime number because it is at equal distance from previous prime (13125113) and next prime (13125127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13125120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125127) 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, 6826 + ... + 8534.

It is an arithmetic number, because the mean of its divisors is an integer number (524799).

Almost surely, 2^13125120 is an apocalyptic number.

13125120 is a gapful number since it is divisible by the number (10) 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 13125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991960).

13125120 is an abundant number, since it is smaller than the sum of its proper divisors (28858800).

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

13125120 is an equidigital number, since it uses as much as digits as its factorization.

13125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 13125120 is about 3622.8607480829. The cubic root of 13125120 is about 235.8854179003.

Adding to 13125120 its reverse (2152131), we get a palindrome (15277251).

The spelling of 13125120 in words is "thirteen million, one hundred twenty-five thousand, one hundred twenty".