211100202211013 has 16 divisors (see below), whose sum is σ = 223595276906160. Its totient is φ = 198613739790336.

The previous prime is 211100202211007. The next prime is 211100202211033. The reversal of 211100202211013 is 310112202001112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 68607707982529 + 142492494228484 = 8282977^2 + 11937022^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100202211013 - 2⁴⁶ = 140731458033349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211100202210982 and 211100202211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100202211033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669132653 + ... + 669448061.

It is an arithmetic number, because the mean of its divisors is an integer number (13974704806635).

Almost surely, 2^{211100202211013} is an apocalyptic number.

It is an amenable number.

211100202211013 is a deficient number, since it is larger than the sum of its proper divisors (12495074695147).

211100202211013 is a wasteful number, since it uses less digits than its factorization.

211100202211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328936.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211100202211013 its reverse (310112202001112), we get a palindrome (521212404212125).

The spelling of 211100202211013 in words is "two hundred eleven trillion, one hundred billion, two hundred two million, two hundred eleven thousand, thirteen".