103320512124329 has 2 divisors, whose sum is σ = 103320512124330. Its totient is φ = 103320512124328.

The previous prime is 103320512124301. The next prime is 103320512124331. The reversal of 103320512124329 is 923421215023301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103013324604304 + 307187520025 = 10149548^2 + 554245^2 .

It is a cyclic number.

It is not a de Polignac number, because 103320512124329 - 2¹² = 103320512120233 is a prime.

It is a super-3 number, since 3×103320512124329³ (a number of 43 digits) contains 333 as substring.

Together with 103320512124331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 103320512124292 and 103320512124301.

It is not a weakly prime, because it can be changed into another prime (103320512124029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51660256062164 + 51660256062165.

It is an arithmetic number, because the mean of its divisors is an integer number (51660256062165).

Almost surely, 2^{103320512124329} is an apocalyptic number.

It is an amenable number.

103320512124329 is a deficient number, since it is larger than the sum of its proper divisors (1).

103320512124329 is an equidigital number, since it uses as much as digits as its factorization.

103320512124329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 103320512124329 in words is "one hundred three trillion, three hundred twenty billion, five hundred twelve million, one hundred twenty-four thousand, three hundred twenty-nine".