13021310200013 has 2 divisors, whose sum is σ = 13021310200014. Its totient is φ = 13021310200012.

The previous prime is 13021310200001. The next prime is 13021310200033. The reversal of 13021310200013 is 31000201312031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6745749118564 + 6275561081449 = 2597258^2 + 2505107^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021310200013 - 2¹⁰ = 13021310198989 is a prime.

It is a super-3 number, since 3×13021310200013³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021310199964 and 13021310200000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13021310200033) 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, 6510655100006 + 6510655100007.

It is an arithmetic number, because the mean of its divisors is an integer number (6510655100007).

Almost surely, 2^{13021310200013} is an apocalyptic number.

It is an amenable number.

13021310200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021310200013 is an equidigital number, since it uses as much as digits as its factorization.

13021310200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13021310200013 its reverse (31000201312031), we get a palindrome (44021511512044).

The spelling of 13021310200013 in words is "thirteen trillion, twenty-one billion, three hundred ten million, two hundred thousand, thirteen".