10105600013 has 2 divisors, whose sum is σ = 10105600014. Its totient is φ = 10105600012.

The previous prime is 10105599991. The next prime is 10105600067. The reversal of 10105600013 is 31000650101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9920558404 + 185041609 = 99602^2 + 13603^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105600013 - 2⁶ = 10105599949 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 = 10105599964 and 10105600000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105600213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052800006 + 5052800007.

It is an arithmetic number, because the mean of its divisors is an integer number (5052800007).

Almost surely, 2^10105600013 is an apocalyptic number.

It is an amenable number.

10105600013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105600013 is an equidigital number, since it uses as much as digits as its factorization.

10105600013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The spelling of 10105600013 in words is "ten billion, one hundred five million, six hundred thousand, thirteen".