11011211310013 has 2 divisors, whose sum is σ = 11011211310014. Its totient is φ = 11011211310012.

The previous prime is 11011211309927. The next prime is 11011211310079. The reversal of 11011211310013 is 31001311211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9489190685209 + 1522020624804 = 3080453^2 + 1233702^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011211310013 - 2¹³ = 11011211301821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011211319013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505605655006 + 5505605655007.

It is an arithmetic number, because the mean of its divisors is an integer number (5505605655007).

Almost surely, 2^{11011211310013} is an apocalyptic number.

It is an amenable number.

11011211310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011211310013 is an equidigital number, since it uses as much as digits as its factorization.

11011211310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11011211310013 its reverse (31001311211011), we get a palindrome (42012522521024).

The spelling of 11011211310013 in words is "eleven trillion, eleven billion, two hundred eleven million, three hundred ten thousand, thirteen".