204024202141131 has 32 divisors (see below), whose sum is σ = 315406899256320. Its totient is φ = 130099433599872.

The previous prime is 204024202141093. The next prime is 204024202141139. The reversal of 204024202141131 is 131141202420402.

204024202141131 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 242 + 0 + 2 + 1 + 411 + 3 + 1 = 666.

204024202141131 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204024202141131 - 2¹⁷ = 204024202010059 is a prime.

It is a super-2 number, since 2×204024202141131² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 204024202141095 and 204024202141104.

It is not an unprimeable number, because it can be changed into a prime (204024202141139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23783130 + ... + 31203936.

It is an arithmetic number, because the mean of its divisors is an integer number (9856465601760).

Almost surely, 2^{204024202141131} is an apocalyptic number.

204024202141131 is a deficient number, since it is larger than the sum of its proper divisors (111382697115189).

204024202141131 is a wasteful number, since it uses less digits than its factorization.

204024202141131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7465112 (or 7465106 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 204024202141131 its reverse (131141202420402), we get a palindrome (335165404561533).

The spelling of 204024202141131 in words is "two hundred four trillion, twenty-four billion, two hundred two million, one hundred forty-one thousand, one hundred thirty-one".