13025885100 has 144 divisors (see below), whose sum is σ = 40323252480. Its totient is φ = 3236716800.

The previous prime is 13025885069. The next prime is 13025885107. The reversal of 13025885100 is 158852031.

It is a happy number.

13025885100 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 (13025885107) 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 47 ways as a sum of consecutive naturals, for example, 328969 + ... + 366431.

Almost surely, 2^13025885100 is an apocalyptic number.

13025885100 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 13025885100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20161626240).

13025885100 is an abundant number, since it is smaller than the sum of its proper divisors (27297367380).

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

13025885100 is a wasteful number, since it uses less digits than its factorization.

13025885100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37560 (or 37553 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 13025885100 in words is "thirteen billion, twenty-five million, eight hundred eighty-five thousand, one hundred".