10581070013 has 2 divisors, whose sum is σ = 10581070014. Its totient is φ = 10581070012.

The previous prime is 10581069991. The next prime is 10581070081. The reversal of 10581070013 is 31007018501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10444226809 + 136843204 = 102197^2 + 11698^2 .

It is a cyclic number.

It is not a de Polignac number, because 10581070013 - 2¹⁸ = 10580807869 is a prime.

It is a super-2 number, since 2×10581070013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10581076013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290535006 + 5290535007.

It is an arithmetic number, because the mean of its divisors is an integer number (5290535007).

Almost surely, 2^10581070013 is an apocalyptic number.

It is an amenable number.

10581070013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10581070013 is an equidigital number, since it uses as much as digits as its factorization.

10581070013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 10581070013 its reverse (31007018501), we get a palindrome (41588088514).

The spelling of 10581070013 in words is "ten billion, five hundred eighty-one million, seventy thousand, thirteen".