10103313313 has 2 divisors, whose sum is σ = 10103313314. Its totient is φ = 10103313312.

The previous prime is 10103313301. The next prime is 10103313317. The reversal of 10103313313 is 31331330101.

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., 6957561744 + 3145751569 = 83412^2 + 56087^2 .

It is an emirp because it is prime and its reverse (31331330101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10103313313 - 2⁵ = 10103313281 is a prime.

It is not a weakly prime, because it can be changed into another prime (10103313317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051656656 + 5051656657.

It is an arithmetic number, because the mean of its divisors is an integer number (5051656657).

Almost surely, 2^10103313313 is an apocalyptic number.

It is an amenable number.

10103313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103313313 is an equidigital number, since it uses as much as digits as its factorization.

10103313313 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 19.

Adding to 10103313313 its reverse (31331330101), we get a palindrome (41434643414).

The spelling of 10103313313 in words is "ten billion, one hundred three million, three hundred thirteen thousand, three hundred thirteen".