11213300013 has 16 divisors (see below), whose sum is σ = 15179665536. Its totient is φ = 7361484480.

The previous prime is 11213299973. The next prime is 11213300039. The reversal of 11213300013 is 31000331211.

11213300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11213300013 - 2¹⁶ = 11213234477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11213299965 and 11213300001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213300513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150831 + ... + 212547.

It is an arithmetic number, because the mean of its divisors is an integer number (948729096).

Almost surely, 2^11213300013 is an apocalyptic number.

It is an amenable number.

11213300013 is a deficient number, since it is larger than the sum of its proper divisors (3966365523).

11213300013 is an equidigital number, since it uses as much as digits as its factorization.

11213300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62644.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11213300013 its reverse (31000331211), we get a palindrome (42213631224).

The spelling of 11213300013 in words is "eleven billion, two hundred thirteen million, three hundred thousand, thirteen".