11003101013 has 2 divisors, whose sum is σ = 11003101014. Its totient is φ = 11003101012.

The previous prime is 11003100989. The next prime is 11003101037. The reversal of 11003101013 is 31010130011.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (11003100989) and next prime (11003101037).

It can be written as a sum of positive squares in only one way, i.e., 8226127204 + 2776973809 = 90698^2 + 52697^2 .

It is a cyclic number.

It is not a de Polignac number, because 11003101013 - 2²⁶ = 10935992149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11003100985 and 11003101003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11003101513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5501550506 + 5501550507.

It is an arithmetic number, because the mean of its divisors is an integer number (5501550507).

Almost surely, 2^11003101013 is an apocalyptic number.

It is an amenable number.

11003101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11003101013 is an equidigital number, since it uses as much as digits as its factorization.

11003101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11003101013 its reverse (31010130011), we get a palindrome (42013231024).

The spelling of 11003101013 in words is "eleven billion, three million, one hundred one thousand, thirteen".