13301020010321 has 2 divisors, whose sum is σ = 13301020010322. Its totient is φ = 13301020010320.

The previous prime is 13301020010309. The next prime is 13301020010347. The reversal of 13301020010321 is 12301002010331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7227575212225 + 6073444798096 = 2688415^2 + 2464436^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301020010321 - 2¹⁰ = 13301020009297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13301020010321.

It is not a weakly prime, because it can be changed into another prime (13301020010921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650510005160 + 6650510005161.

It is an arithmetic number, because the mean of its divisors is an integer number (6650510005161).

Almost surely, 2^{13301020010321} is an apocalyptic number.

It is an amenable number.

13301020010321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301020010321 is an equidigital number, since it uses as much as digits as its factorization.

13301020010321 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 13301020010321 its reverse (12301002010331), we get a palindrome (25602022020652).

The spelling of 13301020010321 in words is "thirteen trillion, three hundred one billion, twenty million, ten thousand, three hundred twenty-one".