211132313101 has 16 divisors (see below), whose sum is σ = 220915588608. Its totient is φ = 201399937200.

The previous prime is 211132313069. The next prime is 211132313107. The reversal of 211132313101 is 101313231112.

211132313101 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 211132313101 - 2⁵ = 211132313069 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 (211132313107) 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, 18367966 + ... + 18379456.

It is an arithmetic number, because the mean of its divisors is an integer number (13807224288).

Almost surely, 2^211132313101 is an apocalyptic number.

It is an amenable number.

211132313101 is a deficient number, since it is larger than the sum of its proper divisors (9783275507).

211132313101 is a wasteful number, since it uses less digits than its factorization.

211132313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13632.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211132313101 its reverse (101313231112), we get a palindrome (312445544213).

The spelling of 211132313101 in words is "two hundred eleven billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred one".