211113300013 has 32 divisors (see below), whose sum is σ = 274711191552. Its totient is φ = 157316438400.

The previous prime is 211113300011. The next prime is 211113300017. The reversal of 211113300013 is 310003311112.

It is not a de Polignac number, because 211113300013 - 2¹ = 211113300011 is a prime.

It is a super-3 number, since 3×211113300013³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211113300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211113300011) 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 31 ways as a sum of consecutive naturals, for example, 10103745 + ... + 10124617.

It is an arithmetic number, because the mean of its divisors is an integer number (8584724736).

Almost surely, 2^211113300013 is an apocalyptic number.

211113300013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211113300013 is a deficient number, since it is larger than the sum of its proper divisors (63597891539).

211113300013 is a wasteful number, since it uses less digits than its factorization.

211113300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26625.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 211113300013 its reverse (310003311112), we get a palindrome (521116611125).

The spelling of 211113300013 in words is "two hundred eleven billion, one hundred thirteen million, three hundred thousand, thirteen".