103313332300993 has 2 divisors, whose sum is σ = 103313332300994. Its totient is φ = 103313332300992.

The previous prime is 103313332300991. The next prime is 103313332301051. The reversal of 103313332300993 is 399003233313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77056654788864 + 26256677512129 = 8778192^2 + 5124127^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313332300993 - 2¹ = 103313332300991 is a prime.

It is a super-2 number, since 2×103313332300993² (a number of 29 digits) contains 22 as substring.

Together with 103313332300991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103313332300991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656666150496 + 51656666150497.

It is an arithmetic number, because the mean of its divisors is an integer number (51656666150497).

Almost surely, 2^{103313332300993} is an apocalyptic number.

It is an amenable number.

103313332300993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313332300993 is an equidigital number, since it uses as much as digits as its factorization.

103313332300993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 354294, while the sum is 43.

The spelling of 103313332300993 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirty-two million, three hundred thousand, nine hundred ninety-three".