10505202013 has 4 divisors (see below), whose sum is σ = 10505762140. Its totient is φ = 10504641888.

The previous prime is 10505201951. The next prime is 10505202073. The reversal of 10505202013 is 31020250501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31020250501 = 167 ⋅185750003.

It can be written as a sum of positive squares in 2 ways, for example, as 712516249 + 9792685764 = 26693^2 + 98958^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505202013 - 2¹⁷ = 10505070941 is a prime.

It is a super-2 number, since 2×10505202013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505202073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250920 + ... + 289777.

It is an arithmetic number, because the mean of its divisors is an integer number (2626440535).

Almost surely, 2^10505202013 is an apocalyptic number.

It is an amenable number.

10505202013 is a deficient number, since it is larger than the sum of its proper divisors (560127).

10505202013 is an equidigital number, since it uses as much as digits as its factorization.

10505202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560126.

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 10505202013 its reverse (31020250501), we get a palindrome (41525452514).

The spelling of 10505202013 in words is "ten billion, five hundred five million, two hundred two thousand, thirteen".