13125135320 has 128 divisors (see below), whose sum is σ = 32652901440. Its totient is φ = 4708515840.

The previous prime is 13125135313. The next prime is 13125135329. The reversal of 13125135320 is 2353152131.

13125135320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13125135320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125135329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13771964 + ... + 13772916.

Almost surely, 2^13125135320 is an apocalyptic number.

13125135320 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 13125135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326450720).

13125135320 is an abundant number, since it is smaller than the sum of its proper divisors (19527766120).

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

13125135320 is a wasteful number, since it uses less digits than its factorization.

13125135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 13125135320 its reverse (2353152131), we get a palindrome (15478287451).

The spelling of 13125135320 in words is "thirteen billion, one hundred twenty-five million, one hundred thirty-five thousand, three hundred twenty".