13107144001408 has 64 divisors (see below), whose sum is σ = 26300751775200. Its totient is φ = 6506268147712.

The previous prime is 13107144001397. The next prime is 13107144001409. The reversal of 13107144001408 is 80410044170131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107144001409) 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, 16914216 + ... + 17672152.

Almost surely, 2^{13107144001408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13107144001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13150375887600).

13107144001408 is an abundant number, since it is smaller than the sum of its proper divisors (13193607773792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13107144001408 is an equidigital number, since it uses as much as digits as its factorization.

13107144001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758927 (or 758915 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

Adding to 13107144001408 its reverse (80410044170131), we get a palindrome (93517188171539).

The spelling of 13107144001408 in words is "thirteen trillion, one hundred seven billion, one hundred forty-four million, one thousand, four hundred eight".