13205141 has 8 divisors (see below), whose sum is σ = 14013720. Its totient is φ = 12400128.

The previous prime is 13205131. The next prime is 13205147. The reversal of 13205141 is 14150231.

It can be written as a sum of positive squares in 4 ways, for example, as 1164241 + 12040900 = 1079^2 + 3470^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13205141 - 2¹⁰ = 13204117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13625 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (1751715).

Almost surely, 2^13205141 is an apocalyptic number.

It is an amenable number.

13205141 is a deficient number, since it is larger than the sum of its proper divisors (808579).

13205141 is an equidigital number, since it uses as much as digits as its factorization.

13205141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13205141 is about 3633.8878628818. The cubic root of 13205141 is about 236.3638276446.

Adding to 13205141 its reverse (14150231), we get a palindrome (27355372).

The spelling of 13205141 in words is "thirteen million, two hundred five thousand, one hundred forty-one".