102321304013213 has 2 divisors, whose sum is σ = 102321304013214. Its totient is φ = 102321304013212.

The previous prime is 102321304013183. The next prime is 102321304013233. The reversal of 102321304013213 is 312310403123201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70641032851684 + 31680271161529 = 8404822^2 + 5628523^2 .

It is a cyclic number.

It is not a de Polignac number, because 102321304013213 - 2¹⁰ = 102321304012189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102321304013233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51160652006606 + 51160652006607.

It is an arithmetic number, because the mean of its divisors is an integer number (51160652006607).

Almost surely, 2^{102321304013213} is an apocalyptic number.

It is an amenable number.

102321304013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102321304013213 is an equidigital number, since it uses as much as digits as its factorization.

102321304013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 102321304013213 its reverse (312310403123201), we get a palindrome (414631707136414).

The spelling of 102321304013213 in words is "one hundred two trillion, three hundred twenty-one billion, three hundred four million, thirteen thousand, two hundred thirteen".