13201323313 has 2 divisors, whose sum is σ = 13201323314. Its totient is φ = 13201323312.

The previous prime is 13201323307. The next prime is 13201323319. The reversal of 13201323313 is 31332310231.

It is a balanced prime because it is at equal distance from previous prime (13201323307) and next prime (13201323319).

It can be written as a sum of positive squares in only one way, i.e., 13201320609 + 2704 = 114897^2 + 52^2 .

It is an emirp because it is prime and its reverse (31332310231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13201323313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13201323319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600661656 + 6600661657.

It is an arithmetic number, because the mean of its divisors is an integer number (6600661657).

Almost surely, 2^13201323313 is an apocalyptic number.

It is an amenable number.

13201323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201323313 is an equidigital number, since it uses as much as digits as its factorization.

13201323313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13201323313 its reverse (31332310231), we get a palindrome (44533633544).

The spelling of 13201323313 in words is "thirteen billion, two hundred one million, three hundred twenty-three thousand, three hundred thirteen".