204121131223113 has 48 divisors (see below), whose sum is σ = 319236305628240. Its totient is φ = 124935132575232.

The previous prime is 204121131223091. The next prime is 204121131223129. The reversal of 204121131223113 is 311322131121402.

204121131223113 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 211 + 312 + 23 + 113 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8299394671689 + 195821736551424 = 2880867^2 + 13993632^2 .

It is not a de Polignac number, because 204121131223113 - 2¹⁶ = 204121131157577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204121131223183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70235095 + ... + 73083587.

It is an arithmetic number, because the mean of its divisors is an integer number (6650756367255).

Almost surely, 2^{204121131223113} is an apocalyptic number.

It is an amenable number.

204121131223113 is a deficient number, since it is larger than the sum of its proper divisors (115115174405127).

204121131223113 is a wasteful number, since it uses less digits than its factorization.

204121131223113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851818 (or 2851815 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 204121131223113 its reverse (311322131121402), we get a palindrome (515443262344515).

The spelling of 204121131223113 in words is "two hundred four trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred twenty-three thousand, one hundred thirteen".