2000205533331 has 24 divisors (see below), whose sum is σ = 2899323139440. Its totient is φ = 1328796665856.

The previous prime is 2000205533329. The next prime is 2000205533353. The reversal of 2000205533331 is 1333355020002.

It is not a de Polignac number, because 2000205533331 - 2¹ = 2000205533329 is a prime.

It is a super-3 number, since 3×2000205533331³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2000205533295 and 2000205533304.

It is not an unprimeable number, because it can be changed into a prime (2000205533321) 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 23 ways as a sum of consecutive naturals, for example, 4519140 + ... + 4941966.

It is an arithmetic number, because the mean of its divisors is an integer number (120805130810).

Almost surely, 2^{2000205533331} is an apocalyptic number.

2000205533331 is a deficient number, since it is larger than the sum of its proper divisors (899117606109).

2000205533331 is a wasteful number, since it uses less digits than its factorization.

2000205533331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424675 (or 424672 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 2000205533331 in words is "two trillion, two hundred five million, five hundred thirty-three thousand, three hundred thirty-one".