213113211101 has 16 divisors (see below), whose sum is σ = 254256537600. Its totient is φ = 174651349488.

The previous prime is 213113211083. The next prime is 213113211149. The reversal of 213113211101 is 101112311312.

213113211101 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 213113211101 - 2⁶ = 213113211037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213113211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113211401) 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, 93620 + ... + 659538.

It is an arithmetic number, because the mean of its divisors is an integer number (15891033600).

Almost surely, 2^213113211101 is an apocalyptic number.

It is an amenable number.

213113211101 is a deficient number, since it is larger than the sum of its proper divisors (41143326499).

213113211101 is a wasteful number, since it uses less digits than its factorization.

213113211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568288.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 213113211101 its reverse (101112311312), we get a palindrome (314225522413).

The spelling of 213113211101 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred eleven thousand, one hundred one".