13201101231313 has 2 divisors, whose sum is σ = 13201101231314. Its totient is φ = 13201101231312.

The previous prime is 13201101231271. The next prime is 13201101231317. The reversal of 13201101231313 is 31313210110231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13001267198529 + 199834032784 = 3605727^2 + 447028^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201101231313 - 2¹⁷ = 13201101100241 is a prime.

It is not a weakly prime, because it can be changed into another prime (13201101231317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600550615656 + 6600550615657.

It is an arithmetic number, because the mean of its divisors is an integer number (6600550615657).

Almost surely, 2^{13201101231313} is an apocalyptic number.

It is an amenable number.

13201101231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201101231313 is an equidigital number, since it uses as much as digits as its factorization.

13201101231313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13201101231313 its reverse (31313210110231), we get a palindrome (44514311341544).

The spelling of 13201101231313 in words is "thirteen trillion, two hundred one billion, one hundred one million, two hundred thirty-one thousand, three hundred thirteen".