213033101113 has 16 divisors (see below), whose sum is σ = 257813539200. Its totient is φ = 171841579776.

The previous prime is 213033101077. The next prime is 213033101119. The reversal of 213033101113 is 311101330312.

213033101113 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 213033101113 - 2³⁷ = 75594147641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213033101119) 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, 1192563 + ... + 1359511.

It is an arithmetic number, because the mean of its divisors is an integer number (16113346200).

Almost surely, 2^213033101113 is an apocalyptic number.

It is an amenable number.

213033101113 is a deficient number, since it is larger than the sum of its proper divisors (44780438087).

213033101113 is a wasteful number, since it uses less digits than its factorization.

213033101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177696.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 213033101113 its reverse (311101330312), we get a palindrome (524134431425).

The spelling of 213033101113 in words is "two hundred thirteen billion, thirty-three million, one hundred one thousand, one hundred thirteen".