205100123331 has 8 divisors (see below), whose sum is σ = 273490189504. Its totient is φ = 136721736360.

The previous prime is 205100123323. The next prime is 205100123351. The reversal of 205100123331 is 133321001502.

205100123331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205100123331 - 2³ = 205100123323 is a prime.

It is a super-2 number, since 2×205100123331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205100123298 and 205100123307.

It is not an unprimeable number, because it can be changed into a prime (205100123321) 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 7 ways as a sum of consecutive naturals, for example, 2878741 + ... + 2949126.

It is an arithmetic number, because the mean of its divisors is an integer number (34186273688).

Almost surely, 2^205100123331 is an apocalyptic number.

205100123331 is a deficient number, since it is larger than the sum of its proper divisors (68390066173).

205100123331 is a wasteful number, since it uses less digits than its factorization.

205100123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839601.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 205100123331 its reverse (133321001502), we get a palindrome (338421124833).

The spelling of 205100123331 in words is "two hundred five billion, one hundred million, one hundred twenty-three thousand, three hundred thirty-one".