213344001302321 has 2 divisors, whose sum is σ = 213344001302322. Its totient is φ = 213344001302320.

The previous prime is 213344001302273. The next prime is 213344001302351. The reversal of 213344001302321 is 123203100443312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210166923208225 + 3177078094096 = 14497135^2 + 1782436^2 .

It is a cyclic number.

It is not a de Polignac number, because 213344001302321 - 2¹⁰ = 213344001301297 is a prime.

It is not a weakly prime, because it can be changed into another prime (213344001302351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106672000651160 + 106672000651161.

It is an arithmetic number, because the mean of its divisors is an integer number (106672000651161).

Almost surely, 2^{213344001302321} is an apocalyptic number.

It is an amenable number.

213344001302321 is a deficient number, since it is larger than the sum of its proper divisors (1).

213344001302321 is an equidigital number, since it uses as much as digits as its factorization.

213344001302321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 213344001302321 its reverse (123203100443312), we get a palindrome (336547101745633).

The spelling of 213344001302321 in words is "two hundred thirteen trillion, three hundred forty-four billion, one million, three hundred two thousand, three hundred twenty-one".