13010213312321 has 2 divisors, whose sum is σ = 13010213312322. Its totient is φ = 13010213312320.

The previous prime is 13010213312287. The next prime is 13010213312347. The reversal of 13010213312321 is 12321331201031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11281806145600 + 1728407166721 = 3358840^2 + 1314689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13010213312321 is a prime.

It is not a weakly prime, because it can be changed into another prime (13010213311321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505106656160 + 6505106656161.

It is an arithmetic number, because the mean of its divisors is an integer number (6505106656161).

Almost surely, 2^{13010213312321} is an apocalyptic number.

It is an amenable number.

13010213312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010213312321 is an equidigital number, since it uses as much as digits as its factorization.

13010213312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13010213312321 its reverse (12321331201031), we get a palindrome (25331544513352).

The spelling of 13010213312321 in words is "thirteen trillion, ten billion, two hundred thirteen million, three hundred twelve thousand, three hundred twenty-one".