1101001000013 has 2 divisors, whose sum is σ = 1101001000014. Its totient is φ = 1101001000012.

The previous prime is 1101000999997. The next prime is 1101001000027. The reversal of 1101001000013 is 3100001001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 593149506244 + 507851493769 = 770162^2 + 712637^2 .

It is an emirp because it is prime and its reverse (3100001001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1101001000013 - 2⁴ = 1101000999997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101001000613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500500006 + 550500500007.

It is an arithmetic number, because the mean of its divisors is an integer number (550500500007).

Almost surely, 2^{1101001000013} is an apocalyptic number.

It is an amenable number.

1101001000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101001000013 is an equidigital number, since it uses as much as digits as its factorization.

1101001000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1101001000013 its reverse (3100001001011), we get a palindrome (4201002001024).

The spelling of 1101001000013 in words is "one trillion, one hundred one billion, one million, thirteen", and thus it is an aban number.