13112011301101 has 2 divisors, whose sum is σ = 13112011301102. Its totient is φ = 13112011301100.

The previous prime is 13112011301009. The next prime is 13112011301111. The reversal of 13112011301101 is 10110311021131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11906295302500 + 1205715998601 = 3450550^2 + 1098051^2 .

It is an emirp because it is prime and its reverse (10110311021131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13112011301101 - 2¹³ = 13112011292909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13112011301111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556005650550 + 6556005650551.

It is an arithmetic number, because the mean of its divisors is an integer number (6556005650551).

Almost surely, 2^{13112011301101} is an apocalyptic number.

It is an amenable number.

13112011301101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112011301101 is an equidigital number, since it uses as much as digits as its factorization.

13112011301101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 13112011301101 its reverse (10110311021131), we get a palindrome (23222322322232).

The spelling of 13112011301101 in words is "thirteen trillion, one hundred twelve billion, eleven million, three hundred one thousand, one hundred one".