13147200013 has 2 divisors, whose sum is σ = 13147200014. Its totient is φ = 13147200012.

The previous prime is 13147199959. The next prime is 13147200023. The reversal of 13147200013 is 31000274131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7380012649 + 5767187364 = 85907^2 + 75942^2 .

It is a cyclic number.

It is not a de Polignac number, because 13147200013 - 2¹⁷ = 13147068941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13147200023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6573600006 + 6573600007.

It is an arithmetic number, because the mean of its divisors is an integer number (6573600007).

Almost surely, 2^13147200013 is an apocalyptic number.

It is an amenable number.

13147200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13147200013 is an equidigital number, since it uses as much as digits as its factorization.

13147200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 13147200013 its reverse (31000274131), we get a palindrome (44147474144).

The spelling of 13147200013 in words is "thirteen billion, one hundred forty-seven million, two hundred thousand, thirteen".