13201012313 has 2 divisors, whose sum is σ = 13201012314. Its totient is φ = 13201012312.

The previous prime is 13201012301. The next prime is 13201012339. The reversal of 13201012313 is 31321010231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8315980864 + 4885031449 = 91192^2 + 69893^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201012313 - 2⁶ = 13201012249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13201012291 and 13201012300.

It is not a weakly prime, because it can be changed into another prime (13201042313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600506156 + 6600506157.

It is an arithmetic number, because the mean of its divisors is an integer number (6600506157).

Almost surely, 2^13201012313 is an apocalyptic number.

It is an amenable number.

13201012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201012313 is an equidigital number, since it uses as much as digits as its factorization.

13201012313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13201012313 its reverse (31321010231), we get a palindrome (44522022544).

The spelling of 13201012313 in words is "thirteen billion, two hundred one million, twelve thousand, three hundred thirteen".