13138541 has 8 divisors (see below), whose sum is σ = 14416920. Its totient is φ = 11898432.

The previous prime is 13138529. The next prime is 13138561. The reversal of 13138541 is 14583131.

It can be written as a sum of positive squares in 4 ways, for example, as 5044516 + 8094025 = 2246^2 + 2845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13138541 - 2¹⁴ = 13122157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13138541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8846 + ... + 10223.

It is an arithmetic number, because the mean of its divisors is an integer number (1802115).

Almost surely, 2^13138541 is an apocalyptic number.

It is an amenable number.

13138541 is a deficient number, since it is larger than the sum of its proper divisors (1278379).

13138541 is a wasteful number, since it uses less digits than its factorization.

13138541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19135.

The product of its digits is 1440, while the sum is 26.

The square root of 13138541 is about 3624.7125403265. The cubic root of 13138541 is about 235.9657915082.

The spelling of 13138541 in words is "thirteen million, one hundred thirty-eight thousand, five hundred forty-one".