13001201101113 has 16 divisors (see below), whose sum is σ = 17561514389760. Its totient is φ = 8554819476224.

The previous prime is 13001201101079. The next prime is 13001201101159. The reversal of 13001201101113 is 31110110210031.

It is a cyclic number.

It is not a de Polignac number, because 13001201101113 - 2⁴¹ = 10802177845561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13001201101092 and 13001201101101.

It is not an unprimeable number, because it can be changed into a prime (13001201100113) 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, 80152506 + ... + 80314547.

It is an arithmetic number, because the mean of its divisors is an integer number (1097594649360).

Almost surely, 2^{13001201101113} is an apocalyptic number.

It is an amenable number.

13001201101113 is a deficient number, since it is larger than the sum of its proper divisors (4560313288647).

13001201101113 is a wasteful number, since it uses less digits than its factorization.

13001201101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160467408.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13001201101113 its reverse (31110110210031), we get a palindrome (44111311311144).

The spelling of 13001201101113 in words is "thirteen trillion, one billion, two hundred one million, one hundred one thousand, one hundred thirteen".