13320000013013 has 2 divisors, whose sum is σ = 13320000013014. Its totient is φ = 13320000013012.

The previous prime is 13320000013003. The next prime is 13320000013049. The reversal of 13320000013013 is 31031000002331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13272046458724 + 47953554289 = 3643082^2 + 218983^2 .

It is a cyclic number.

It is not a de Polignac number, because 13320000013013 - 2¹⁴ = 13319999996629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13320000012982 and 13320000013000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13320000013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660000006506 + 6660000006507.

It is an arithmetic number, because the mean of its divisors is an integer number (6660000006507).

Almost surely, 2^{13320000013013} is an apocalyptic number.

It is an amenable number.

13320000013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13320000013013 is an equidigital number, since it uses as much as digits as its factorization.

13320000013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13320000013013 its reverse (31031000002331), we get a palindrome (44351000015344).

The spelling of 13320000013013 in words is "thirteen trillion, three hundred twenty billion, thirteen thousand, thirteen".