13114132400401 has 8 divisors (see below), whose sum is σ = 13137828631200. Its totient is φ = 13090442402400.

The previous prime is 13114132400381. The next prime is 13114132400419. The reversal of 13114132400401 is 10400423141131.

13114132400401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13114132400401 - 2¹⁹ = 13114131876113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13114132400701) 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, 2664030 + ... + 5772808.

It is an arithmetic number, because the mean of its divisors is an integer number (1642228578900).

Almost surely, 2^{13114132400401} is an apocalyptic number.

It is an amenable number.

13114132400401 is a deficient number, since it is larger than the sum of its proper divisors (23696230799).

13114132400401 is an equidigital number, since it uses as much as digits as its factorization.

13114132400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116399.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13114132400401 its reverse (10400423141131), we get a palindrome (23514555541532).

The spelling of 13114132400401 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-two million, four hundred thousand, four hundred one".