10103122313 has 2 divisors, whose sum is σ = 10103122314. Its totient is φ = 10103122312.

The previous prime is 10103122277. The next prime is 10103122349. The reversal of 10103122313 is 31322130101.

It is a balanced prime because it is at equal distance from previous prime (10103122277) and next prime (10103122349).

It can be written as a sum of positive squares in only one way, i.e., 6579156544 + 3523965769 = 81112^2 + 59363^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103122313 - 2²² = 10098928009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10103122291 and 10103122300.

It is not a weakly prime, because it can be changed into another prime (10103128313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051561156 + 5051561157.

It is an arithmetic number, because the mean of its divisors is an integer number (5051561157).

Almost surely, 2^10103122313 is an apocalyptic number.

It is an amenable number.

10103122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103122313 is an equidigital number, since it uses as much as digits as its factorization.

10103122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10103122313 its reverse (31322130101), we get a palindrome (41425252414).

The spelling of 10103122313 in words is "ten billion, one hundred three million, one hundred twenty-two thousand, three hundred thirteen".