13021032313 has 2 divisors, whose sum is σ = 13021032314. Its totient is φ = 13021032312.

The previous prime is 13021032307. The next prime is 13021032379. The reversal of 13021032313 is 31323012031.

13021032313 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., 11277802809 + 1743229504 = 106197^2 + 41752^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021032313 - 2³³ = 4431097721 is a prime.

It is not a weakly prime, because it can be changed into another prime (13021036313) 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, 6510516156 + 6510516157.

It is an arithmetic number, because the mean of its divisors is an integer number (6510516157).

Almost surely, 2^13021032313 is an apocalyptic number.

It is an amenable number.

13021032313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021032313 is an equidigital number, since it uses as much as digits as its factorization.

13021032313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13021032313 its reverse (31323012031), we get a palindrome (44344044344).

The spelling of 13021032313 in words is "thirteen billion, twenty-one million, thirty-two thousand, three hundred thirteen".