11024314000013 has 2 divisors, whose sum is σ = 11024314000014. Its totient is φ = 11024314000012.

The previous prime is 11024313999983. The next prime is 11024314000019. The reversal of 11024314000013 is 31000041342011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7815927307204 + 3208386692809 = 2795698^2 + 1791197^2 .

It is a cyclic number.

It is not a de Polignac number, because 11024314000013 - 2¹⁴ = 11024313983629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11024314000019) 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, 5512157000006 + 5512157000007.

It is an arithmetic number, because the mean of its divisors is an integer number (5512157000007).

Almost surely, 2^{11024314000013} is an apocalyptic number.

It is an amenable number.

11024314000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11024314000013 is an equidigital number, since it uses as much as digits as its factorization.

11024314000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11024314000013 its reverse (31000041342011), we get a palindrome (42024355342024).

The spelling of 11024314000013 in words is "eleven trillion, twenty-four billion, three hundred fourteen million, thirteen", and thus it is an aban number.