13005138420 has 36 divisors (see below), whose sum is σ = 39448920420. Its totient is φ = 3468036864.

The previous prime is 13005138401. The next prime is 13005138457. The reversal of 13005138420 is 2483150031.

It is a happy number.

13005138420 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 2 ways, for example, as 5772656484 + 7232481936 = 75978^2 + 85044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 36125205 + ... + 36125564.

It is an arithmetic number, because the mean of its divisors is an integer number (1095803345).

Almost surely, 2^13005138420 is an apocalyptic number.

13005138420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005138420 is an abundant number, since it is smaller than the sum of its proper divisors (26443782000).

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

13005138420 is a wasteful number, since it uses less digits than its factorization.

13005138420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72250784 (or 72250779 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13005138420 its reverse (2483150031), we get a palindrome (15488288451).

The spelling of 13005138420 in words is "thirteen billion, five million, one hundred thirty-eight thousand, four hundred twenty".