211311102013 has 16 divisors (see below), whose sum is σ = 231250824000. Its totient is φ = 191493319680.

The previous prime is 211311102001. The next prime is 211311102073. The reversal of 211311102013 is 310201113112.

It is a happy number.

211311102013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211311102013 - 2¹³ = 211311093821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311102073) 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 15 ways as a sum of consecutive naturals, for example, 17933758 + ... + 17945536.

It is an arithmetic number, because the mean of its divisors is an integer number (14453176500).

Almost surely, 2^211311102013 is an apocalyptic number.

It is an amenable number.

211311102013 is a deficient number, since it is larger than the sum of its proper divisors (19939721987).

211311102013 is a wasteful number, since it uses less digits than its factorization.

211311102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16812.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 211311102013 its reverse (310201113112), we get a palindrome (521512215125).

The spelling of 211311102013 in words is "two hundred eleven billion, three hundred eleven million, one hundred two thousand, thirteen".