13011132313 has 2 divisors, whose sum is σ = 13011132314. Its totient is φ = 13011132312.

The previous prime is 13011132307. The next prime is 13011132437. The reversal of 13011132313 is 31323111031.

13011132313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8188802064 + 4822330249 = 90492^2 + 69443^2 .

It is a cyclic number.

It is not a de Polignac number, because 13011132313 - 2²¹ = 13009035161 is a prime.

It is not a weakly prime, because it can be changed into another prime (13011832313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505566156 + 6505566157.

It is an arithmetic number, because the mean of its divisors is an integer number (6505566157).

Almost surely, 2^13011132313 is an apocalyptic number.

It is an amenable number.

13011132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13011132313 is an equidigital number, since it uses as much as digits as its factorization.

13011132313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13011132313 its reverse (31323111031), we get a palindrome (44334243344).

The spelling of 13011132313 in words is "thirteen billion, eleven million, one hundred thirty-two thousand, three hundred thirteen".