13130144122201 has 16 divisors (see below), whose sum is σ = 13928769726480. Its totient is φ = 12334446028800.

The previous prime is 13130144122181. The next prime is 13130144122211. The reversal of 13130144122201 is 10222144103131.

13130144122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 51505848601 + 13078638273600 = 226949^2 + 3616440^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130144122201 - 2¹⁹ = 13130143597913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130144122211) 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, 46007935 + ... + 46292443.

It is an arithmetic number, because the mean of its divisors is an integer number (870548107905).

Almost surely, 2^{13130144122201} is an apocalyptic number.

It is an amenable number.

13130144122201 is a deficient number, since it is larger than the sum of its proper divisors (798625604279).

13130144122201 is a wasteful number, since it uses less digits than its factorization.

13130144122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289644.

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

Adding to 13130144122201 its reverse (10222144103131), we get a palindrome (23352288225332).

The spelling of 13130144122201 in words is "thirteen trillion, one hundred thirty billion, one hundred forty-four million, one hundred twenty-two thousand, two hundred one".