13442004032301 has 24 divisors (see below), whose sum is σ = 21252567406616. Its totient is φ = 8136395879040.

The previous prime is 13442004032257. The next prime is 13442004032363. The reversal of 13442004032301 is 10323040024431.

13442004032301 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 20 + 0 + 403 + 230 + 1 = 666.

13442004032301 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 1332293062500 + 12109710969801 = 1154250^2 + 3479901^2 .

It is not a de Polignac number, because 13442004032301 - 2¹⁸ = 13442003770157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442004032381) 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, 941705350 + ... + 941719623.

Almost surely, 2^{13442004032301} is an apocalyptic number.

It is an amenable number.

13442004032301 is a deficient number, since it is larger than the sum of its proper divisors (7810563374315).

13442004032301 is a wasteful number, since it uses less digits than its factorization.

13442004032301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883425053 (or 1883425050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13442004032301 its reverse (10323040024431), we get a palindrome (23765044056732).

The spelling of 13442004032301 in words is "thirteen trillion, four hundred forty-two billion, four million, thirty-two thousand, three hundred one".