103022243033113 has 2 divisors, whose sum is σ = 103022243033114. Its totient is φ = 103022243033112.

The previous prime is 103022243033093. The next prime is 103022243033119. The reversal of 103022243033113 is 311330342220301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102613496348224 + 408746684889 = 10129832^2 + 639333^2 .

It is a cyclic number.

It is not a de Polignac number, because 103022243033113 - 2⁹ = 103022243032601 is a prime.

It is a super-2 number, since 2×103022243033113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103022243033119) 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, 51511121516556 + 51511121516557.

It is an arithmetic number, because the mean of its divisors is an integer number (51511121516557).

Almost surely, 2^{103022243033113} is an apocalyptic number.

It is an amenable number.

103022243033113 is a deficient number, since it is larger than the sum of its proper divisors (1).

103022243033113 is an equidigital number, since it uses as much as digits as its factorization.

103022243033113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 103022243033113 its reverse (311330342220301), we get a palindrome (414352585253414).

The spelling of 103022243033113 in words is "one hundred three trillion, twenty-two billion, two hundred forty-three million, thirty-three thousand, one hundred thirteen".