13341123400401 has 12 divisors (see below), whose sum is σ = 19270543755060. Its totient is φ = 8894067416160.

The previous prime is 13341123400387. The next prime is 13341123400403. The reversal of 13341123400401 is 10400432114331.

13341123400401 is a `hidden beast` number, since 13 + 3 + 4 + 11 + 234 + 0 + 0 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11351838824001 + 1989284576400 = 3369249^2 + 1410420^2 .

It is not a de Polignac number, because 13341123400401 - 2⁷ = 13341123400273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13341123400403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8411671 + ... + 9871091.

It is an arithmetic number, because the mean of its divisors is an integer number (1605878646255).

Almost surely, 2^{13341123400401} is an apocalyptic number.

It is an amenable number.

13341123400401 is a deficient number, since it is larger than the sum of its proper divisors (5929420354659).

13341123400401 is a wasteful number, since it uses less digits than its factorization.

13341123400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475136 (or 2475133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13341123400401 its reverse (10400432114331), we get a palindrome (23741555514732).

The spelling of 13341123400401 in words is "thirteen trillion, three hundred forty-one billion, one hundred twenty-three million, four hundred thousand, four hundred one".