13000200313 has 2 divisors, whose sum is σ = 13000200314. Its totient is φ = 13000200312.

The previous prime is 13000200281. The next prime is 13000200341. The reversal of 13000200313 is 31300200031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9160786944 + 3839413369 = 95712^2 + 61963^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000200313 - 2⁵ = 13000200281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13000200293 and 13000200302.

It is not a weakly prime, because it can be changed into another prime (13000200413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500100156 + 6500100157.

It is an arithmetic number, because the mean of its divisors is an integer number (6500100157).

Almost surely, 2^13000200313 is an apocalyptic number.

It is an amenable number.

13000200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000200313 is an equidigital number, since it uses as much as digits as its factorization.

13000200313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13000200313 its reverse (31300200031), we get a palindrome (44300400344).

The spelling of 13000200313 in words is "thirteen billion, two hundred thousand, three hundred thirteen".