13251010100 has 72 divisors (see below), whose sum is σ = 29073660000. Its totient is φ = 5241801600.

The previous prime is 13251010099. The next prime is 13251010139. The reversal of 13251010100 is 101015231.

13251010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8839151 + ... + 8840649.

Almost surely, 2^13251010100 is an apocalyptic number.

13251010100 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 13251010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536830000).

13251010100 is an abundant number, since it is smaller than the sum of its proper divisors (15822649900).

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

13251010100 is a wasteful number, since it uses less digits than its factorization.

13251010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 13251010100 its reverse (101015231), we get a palindrome (13352025331).

The spelling of 13251010100 in words is "thirteen billion, two hundred fifty-one million, ten thousand, one hundred".