103114350514321 has 2 divisors, whose sum is σ = 103114350514322. Its totient is φ = 103114350514320.

The previous prime is 103114350514313. The next prime is 103114350514327. The reversal of 103114350514321 is 123415053411301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98290568505600 + 4823782008721 = 9914160^2 + 2196311^2 .

It is a cyclic number.

It is not a de Polignac number, because 103114350514321 - 2³ = 103114350514313 is a prime.

It is not a weakly prime, because it can be changed into another prime (103114350514327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51557175257160 + 51557175257161.

It is an arithmetic number, because the mean of its divisors is an integer number (51557175257161).

Almost surely, 2^{103114350514321} is an apocalyptic number.

It is an amenable number.

103114350514321 is a deficient number, since it is larger than the sum of its proper divisors (1).

103114350514321 is an equidigital number, since it uses as much as digits as its factorization.

103114350514321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 103114350514321 in words is "one hundred three trillion, one hundred fourteen billion, three hundred fifty million, five hundred fourteen thousand, three hundred twenty-one".