13106257872 has 40 divisors (see below), whose sum is σ = 34950024960. Its totient is φ = 4227824640.

The previous prime is 13106257823. The next prime is 13106257873. The reversal of 13106257872 is 27875260131.

13106257872 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 not an unprimeable number, because it can be changed into a prime (13106257873) 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 7 ways as a sum of consecutive naturals, for example, 4402497 + ... + 4405472.

It is an arithmetic number, because the mean of its divisors is an integer number (873750624).

Almost surely, 2^13106257872 is an apocalyptic number.

13106257872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13106257872 is an abundant number, since it is smaller than the sum of its proper divisors (21843767088).

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

13106257872 is a wasteful number, since it uses less digits than its factorization.

13106257872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808011 (or 8808005 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 13106257872 in words is "thirteen billion, one hundred six million, two hundred fifty-seven thousand, eight hundred seventy-two".