103233323221313 has 2 divisors, whose sum is σ = 103233323221314. Its totient is φ = 103233323221312.

The previous prime is 103233323221253. The next prime is 103233323221319. The reversal of 103233323221313 is 313122323332301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95241750419344 + 7991572801969 = 9759188^2 + 2826937^2 .

It is a cyclic number.

It is not a de Polignac number, because 103233323221313 - 2²⁶ = 103233256112449 is a prime.

It is a super-3 number, since 3×103233323221313³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103233323221313.

It is not a weakly prime, because it can be changed into another prime (103233323221319) 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, 51616661610656 + 51616661610657.

It is an arithmetic number, because the mean of its divisors is an integer number (51616661610657).

Almost surely, 2^{103233323221313} is an apocalyptic number.

It is an amenable number.

103233323221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103233323221313 is an equidigital number, since it uses as much as digits as its factorization.

103233323221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 103233323221313 its reverse (313122323332301), we get a palindrome (416355646553614).

The spelling of 103233323221313 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred twenty-three million, two hundred twenty-one thousand, three hundred thirteen".