103301313133093 has 2 divisors, whose sum is σ = 103301313133094. Its totient is φ = 103301313133092.

The previous prime is 103301313133091. The next prime is 103301313133147. The reversal of 103301313133093 is 390331313103301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85199674954689 + 18101638178404 = 9230367^2 + 4254602^2 .

It is a cyclic number.

It is not a de Polignac number, because 103301313133093 - 2¹ = 103301313133091 is a prime.

It is a super-2 number, since 2×103301313133093² (a number of 29 digits) contains 22 as substring.

Together with 103301313133091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103301313133091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51650656566546 + 51650656566547.

It is an arithmetic number, because the mean of its divisors is an integer number (51650656566547).

Almost surely, 2^{103301313133093} is an apocalyptic number.

It is an amenable number.

103301313133093 is a deficient number, since it is larger than the sum of its proper divisors (1).

103301313133093 is an equidigital number, since it uses as much as digits as its factorization.

103301313133093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 34.

Adding to 103301313133093 its reverse (390331313103301), we get a palindrome (493632626236394).

The spelling of 103301313133093 in words is "one hundred three trillion, three hundred one billion, three hundred thirteen million, one hundred thirty-three thousand, ninety-three".