10533540013 has 2 divisors, whose sum is σ = 10533540014. Its totient is φ = 10533540012.

The previous prime is 10533540007. The next prime is 10533540047. The reversal of 10533540013 is 31004533501.

10533540013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9603412009 + 930128004 = 97997^2 + 30498^2 .

It is a cyclic number.

It is not a de Polignac number, because 10533540013 - 2⁹ = 10533539501 is a prime.

It is a super-2 number, since 2×10533540013² (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 10533540013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10533540113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5266770006 + 5266770007.

It is an arithmetic number, because the mean of its divisors is an integer number (5266770007).

Almost surely, 2^10533540013 is an apocalyptic number.

It is an amenable number.

10533540013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10533540013 is an equidigital number, since it uses as much as digits as its factorization.

10533540013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 10533540013 in words is "ten billion, five hundred thirty-three million, five hundred forty thousand, thirteen".