11000300013 has 20 divisors (see below), whose sum is σ = 16663999968. Its totient is φ = 7230240360.

The previous prime is 11000299979. The next prime is 11000300071. The reversal of 11000300013 is 31000300011.

It is not a de Polignac number, because 11000300013 - 2¹⁸ = 11000037869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000299968 and 11000300004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000300513) 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 in 19 ways as a sum of consecutive naturals, for example, 950631 + ... + 962132.

Almost surely, 2^11000300013 is an apocalyptic number.

It is an amenable number.

11000300013 is a deficient number, since it is larger than the sum of its proper divisors (5663699955).

11000300013 is an equidigital number, since it uses as much as digits as its factorization.

11000300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912846 (or 1912837 counting only the distinct ones).

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

Adding to 11000300013 its reverse (31000300011), we get a palindrome (42000600024).

The spelling of 11000300013 in words is "eleven billion, three hundred thousand, thirteen".