2005131320 has 16 divisors (see below), whose sum is σ = 4511545560. Its totient is φ = 802052512.

The previous prime is 2005131307. The next prime is 2005131341. The reversal of 2005131320 is 231315002.

It is a super-3 number, since 3×2005131320³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25064102 + ... + 25064181.

Almost surely, 2^2005131320 is an apocalyptic number.

2005131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005131320 is an abundant number, since it is smaller than the sum of its proper divisors (2506414240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005131320 is a wasteful number, since it uses less digits than its factorization.

2005131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50128294 (or 50128290 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2005131320 is about 44778.6927008817. The cubic root of 2005131320 is about 1260.9976393786.

Adding to 2005131320 its reverse (231315002), we get a palindrome (2236446322).

The spelling of 2005131320 in words is "two billion, five million, one hundred thirty-one thousand, three hundred twenty".