103405506313 has 2 divisors, whose sum is σ = 103405506314. Its totient is φ = 103405506312.

The previous prime is 103405506247. The next prime is 103405506319. The reversal of 103405506313 is 313605504301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84790451344 + 18615054969 = 291188^2 + 136437^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103405506313 is a prime.

It is not a weakly prime, because it can be changed into another prime (103405506319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51702753156 + 51702753157.

It is an arithmetic number, because the mean of its divisors is an integer number (51702753157).

Almost surely, 2^103405506313 is an apocalyptic number.

It is an amenable number.

103405506313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103405506313 is an equidigital number, since it uses as much as digits as its factorization.

103405506313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 103405506313 in words is "one hundred three billion, four hundred five million, five hundred six thousand, three hundred thirteen".