13125442525100 has 72 divisors (see below), whose sum is σ = 28811799416400. Its totient is φ = 5189652115200.

The previous prime is 13125442525099. The next prime is 13125442525109. The reversal of 13125442525100 is 152524452131.

13125442525100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13125442525109) 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, 3158771 + ... + 6019029.

Almost surely, 2^{13125442525100} is an apocalyptic number.

13125442525100 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 13125442525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405899708200).

13125442525100 is an abundant number, since it is smaller than the sum of its proper divisors (15686356891300).

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

13125442525100 is a wasteful number, since it uses less digits than its factorization.

13125442525100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860803 (or 2860796 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 13125442525100 its reverse (152524452131), we get a palindrome (13277966977231).

The spelling of 13125442525100 in words is "thirteen trillion, one hundred twenty-five billion, four hundred forty-two million, five hundred twenty-five thousand, one hundred".