204424121011131 has 16 divisors (see below), whose sum is σ = 346114913881600. Its totient is φ = 116813783434824.

The previous prime is 204424121011043. The next prime is 204424121011157. The reversal of 204424121011131 is 131110121424402.

204424121011131 is a `hidden beast` number, since 2 + 0 + 4 + 424 + 1 + 2 + 101 + 1 + 131 = 666.

It is not a de Polignac number, because 204424121011131 - 2¹⁷ = 204424120880059 is a prime.

It is a super-2 number, since 2×204424121011131² (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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204424121011095 and 204424121011104.

It is not an unprimeable number, because it can be changed into a prime (204424121011931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540804552751 + ... + 540804553128.

It is an arithmetic number, because the mean of its divisors is an integer number (21632182117600).

Almost surely, 2^{204424121011131} is an apocalyptic number.

204424121011131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204424121011131 is a deficient number, since it is larger than the sum of its proper divisors (141690792870469).

204424121011131 is a wasteful number, since it uses less digits than its factorization.

204424121011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081609105895 (or 1081609105889 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 204424121011131 its reverse (131110121424402), we get a palindrome (335534242435533).

The spelling of 204424121011131 in words is "two hundred four trillion, four hundred twenty-four billion, one hundred twenty-one million, eleven thousand, one hundred thirty-one".