13200000313 has 2 divisors, whose sum is σ = 13200000314. Its totient is φ = 13200000312.

The previous prime is 13200000239. The next prime is 13200000347. The reversal of 13200000313 is 31300000231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9855922729 + 3344077584 = 99277^2 + 57828^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200000313 - 2²⁵ = 13166445881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13200000293 and 13200000302.

It is not a weakly prime, because it can be changed into another prime (13200009313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600000156 + 6600000157.

It is an arithmetic number, because the mean of its divisors is an integer number (6600000157).

Almost surely, 2^13200000313 is an apocalyptic number.

It is an amenable number.

13200000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200000313 is an equidigital number, since it uses as much as digits as its factorization.

13200000313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13200000313 its reverse (31300000231), we get a palindrome (44500000544).

The spelling of 13200000313 in words is "thirteen billion, two hundred million, three hundred thirteen", and thus it is an aban number.