13105401225313 has 16 divisors (see below), whose sum is σ = 13879447787520. Its totient is φ = 12339801560016.

The previous prime is 13105401225307. The next prime is 13105401225317. The reversal of 13105401225313 is 31352210450131.

13105401225313 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 13105401225313 - 2²⁵ = 13105367670881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105401225317) 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, 26365720 + ... + 26858182.

It is an arithmetic number, because the mean of its divisors is an integer number (867465486720).

Almost surely, 2^{13105401225313} is an apocalyptic number.

It is an amenable number.

13105401225313 is a deficient number, since it is larger than the sum of its proper divisors (774046562207).

13105401225313 is a wasteful number, since it uses less digits than its factorization.

13105401225313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501036.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 13105401225313 its reverse (31352210450131), we get a palindrome (44457611675444).

The spelling of 13105401225313 in words is "thirteen trillion, one hundred five billion, four hundred one million, two hundred twenty-five thousand, three hundred thirteen".