10500310013 has 2 divisors, whose sum is σ = 10500310014. Its totient is φ = 10500310012.

The previous prime is 10500309983. The next prime is 10500310019. The reversal of 10500310013 is 31001300501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9223105369 + 1277204644 = 96037^2 + 35738^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500310013 - 2³⁰ = 9426568189 is a prime.

It is a super-2 number, since 2×10500310013² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10500310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10500310019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250155006 + 5250155007.

It is an arithmetic number, because the mean of its divisors is an integer number (5250155007).

Almost surely, 2^10500310013 is an apocalyptic number.

It is an amenable number.

10500310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500310013 is an equidigital number, since it uses as much as digits as its factorization.

10500310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 14.

Adding to 10500310013 its reverse (31001300501), we get a palindrome (41501610514).

The spelling of 10500310013 in words is "ten billion, five hundred million, three hundred ten thousand, thirteen".