13110401100401 has 16 divisors (see below), whose sum is σ = 14400600446400. Its totient is φ = 11836668991680.

The previous prime is 13110401100367. The next prime is 13110401100497. The reversal of 13110401100401 is 10400110401131.

13110401100401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13110401100401 - 2¹⁰ = 13110401099377 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 13110401100401.

It is not an unprimeable number, because it can be changed into a prime (13110701100401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521275 + ... + 5341823.

It is an arithmetic number, because the mean of its divisors is an integer number (900037527900).

Almost surely, 2^{13110401100401} is an apocalyptic number.

13110401100401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13110401100401 is a deficient number, since it is larger than the sum of its proper divisors (1290199345999).

13110401100401 is a wasteful number, since it uses less digits than its factorization.

13110401100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822704.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 13110401100401 its reverse (10400110401131), we get a palindrome (23510511501532).

The spelling of 13110401100401 in words is "thirteen trillion, one hundred ten billion, four hundred one million, one hundred thousand, four hundred one".