11011111011013 has 2 divisors, whose sum is σ = 11011111011014. Its totient is φ = 11011111011012.

The previous prime is 11011111011011. The next prime is 11011111011079. The reversal of 11011111011013 is 31011011111011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6466228522884 + 4544882488129 = 2542878^2 + 2131873^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011111011013 - 2¹ = 11011111011011 is a prime.

Together with 11011111011011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 11011111010984 and 11011111011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011111011011) 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, 5505555505506 + 5505555505507.

It is an arithmetic number, because the mean of its divisors is an integer number (5505555505507).

Almost surely, 2^{11011111011013} is an apocalyptic number.

It is an amenable number.

11011111011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011111011013 is an equidigital number, since it uses as much as digits as its factorization.

11011111011013 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 13.

Adding to 11011111011013 its reverse (31011011111011), we get a palindrome (42022122122024).

The spelling of 11011111011013 in words is "eleven trillion, eleven billion, one hundred eleven million, eleven thousand, thirteen".