213134234121 has 40 divisors (see below), whose sum is σ = 329469239880. Its totient is φ = 137146238208.

The previous prime is 213134234107. The next prime is 213134234129. The reversal of 213134234121 is 121432431312.

213134234121 is a `hidden beast` number, since 2 + 1 + 313 + 4 + 2 + 341 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67371393600 + 145762840521 = 259560^2 + 381789^2 .

It is not a de Polignac number, because 213134234121 - 2²¹ = 213132136969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213134234129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8427331 + ... + 8452583.

It is an arithmetic number, because the mean of its divisors is an integer number (8236730997).

Almost surely, 2^213134234121 is an apocalyptic number.

It is an amenable number.

213134234121 is a deficient number, since it is larger than the sum of its proper divisors (116335005759).

213134234121 is a wasteful number, since it uses less digits than its factorization.

213134234121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28887 (or 28878 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 213134234121 its reverse (121432431312), we get a palindrome (334566665433).

The spelling of 213134234121 in words is "two hundred thirteen billion, one hundred thirty-four million, two hundred thirty-four thousand, one hundred twenty-one".