103033313 has 2 divisors, whose sum is σ = 103033314. Its totient is φ = 103033312.

The previous prime is 103033309. The next prime is 103033319. The reversal of 103033313 is 313330301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63808144 + 39225169 = 7988^2 + 6263^2 .

It is an emirp because it is prime and its reverse (313330301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103033313 - 2² = 103033309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103033291 and 103033300.

It is not a weakly prime, because it can be changed into another prime (103033319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51516656 + 51516657.

It is an arithmetic number, because the mean of its divisors is an integer number (51516657).

Almost surely, 2^103033313 is an apocalyptic number.

It is an amenable number.

103033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103033313 is an equidigital number, since it uses as much as digits as its factorization.

103033313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 103033313 is about 10150.5326461226. The cubic root of 103033313 is about 468.8053453347.

Adding to 103033313 its reverse (313330301), we get a palindrome (416363614).

It can be divided in two parts, 1030 and 33313, that added together give a palindrome (34343).

The spelling of 103033313 in words is "one hundred three million, thirty-three thousand, three hundred thirteen".