13003200313 has 2 divisors, whose sum is σ = 13003200314. Its totient is φ = 13003200312.

The previous prime is 13003200311. The next prime is 13003200337. The reversal of 13003200313 is 31300230031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6672929344 + 6330270969 = 81688^2 + 79563^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003200313 - 2¹ = 13003200311 is a prime.

Together with 13003200311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13003200311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501600156 + 6501600157.

It is an arithmetic number, because the mean of its divisors is an integer number (6501600157).

Almost surely, 2^13003200313 is an apocalyptic number.

It is an amenable number.

13003200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003200313 is an equidigital number, since it uses as much as digits as its factorization.

13003200313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13003200313 its reverse (31300230031), we get a palindrome (44303430344).

The spelling of 13003200313 in words is "thirteen billion, three million, two hundred thousand, three hundred thirteen".