103301013201313 has 2 divisors, whose sum is σ = 103301013201314. Its totient is φ = 103301013201312.

The previous prime is 103301013201283. The next prime is 103301013201317. The reversal of 103301013201313 is 313102310103301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102215901395344 + 1085111805969 = 10110188^2 + 1041687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103301013201313 is a prime.

It is not a weakly prime, because it can be changed into another prime (103301013201317) 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, 51650506600656 + 51650506600657.

It is an arithmetic number, because the mean of its divisors is an integer number (51650506600657).

Almost surely, 2^{103301013201313} is an apocalyptic number.

It is an amenable number.

103301013201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103301013201313 is an equidigital number, since it uses as much as digits as its factorization.

103301013201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 103301013201313 its reverse (313102310103301), we get a palindrome (416403323304614).

The spelling of 103301013201313 in words is "one hundred three trillion, three hundred one billion, thirteen million, two hundred one thousand, three hundred thirteen".