13132104043201 has 24 divisors (see below), whose sum is σ = 15549435972392. Its totient is φ = 11016664243200.

The previous prime is 13132104043169. The next prime is 13132104043241. The reversal of 13132104043201 is 10234040123131.

13132104043201 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 4 ways, for example, as 4696651814976 + 8435452228225 = 2167176^2 + 2904385^2 .

It is not a de Polignac number, because 13132104043201 - 2⁵ = 13132104043169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132104043241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4044895 + ... + 6528811.

Almost surely, 2^{13132104043201} is an apocalyptic number.

13132104043201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13132104043201 is a deficient number, since it is larger than the sum of its proper divisors (2417331929191).

13132104043201 is a wasteful number, since it uses less digits than its factorization.

13132104043201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487313 (or 2487302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13132104043201 its reverse (10234040123131), we get a palindrome (23366144166332).

The spelling of 13132104043201 in words is "thirteen trillion, one hundred thirty-two billion, one hundred four million, forty-three thousand, two hundred one".