13106578420 has 48 divisors (see below), whose sum is σ = 30663153360. Its totient is φ = 4672475136.

The previous prime is 13106578393. The next prime is 13106578439. The reversal of 13106578420 is 2487560131.

13106578420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3997021284 + 9109557136 = 63222^2 + 95444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13106578420.

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 15 ways as a sum of consecutive naturals, for example, 861597 + ... + 876676.

It is an arithmetic number, because the mean of its divisors is an integer number (638815695).

Almost surely, 2^13106578420 is an apocalyptic number.

13106578420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13106578420 is an abundant number, since it is smaller than the sum of its proper divisors (17556574940).

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

13106578420 is a wasteful number, since it uses less digits than its factorization.

13106578420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738324 (or 1738322 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 13106578420 in words is "thirteen billion, one hundred six million, five hundred seventy-eight thousand, four hundred twenty".