2000105331 has 16 divisors (see below), whose sum is σ = 3086361600. Its totient is φ = 1128449088.

The previous prime is 2000105293. The next prime is 2000105339. The reversal of 2000105331 is 1335010002.

It is a happy number.

It is not a de Polignac number, because 2000105331 - 2¹⁷ = 1999974259 is a prime.

It is a super-2 number, since 2×2000105331² = 8000842670189239122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2000105331.

It is not an unprimeable number, because it can be changed into a prime (2000105339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601146 + ... + 604463.

It is an arithmetic number, because the mean of its divisors is an integer number (192897600).

Almost surely, 2^2000105331 is an apocalyptic number.

2000105331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2000105331 is a deficient number, since it is larger than the sum of its proper divisors (1086256269).

2000105331 is a wasteful number, since it uses less digits than its factorization.

2000105331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205698.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2000105331 is about 44722.5371708717. The cubic root of 2000105331 is about 1259.9431676306.

Adding to 2000105331 its reverse (1335010002), we get a palindrome (3335115333).

The spelling of 2000105331 in words is "two billion, one hundred five thousand, three hundred thirty-one".