2000131313 has 4 divisors (see below), whose sum is σ = 2087093568. Its totient is φ = 1913169060.

The previous prime is 2000131303. The next prime is 2000131321. The reversal of 2000131313 is 3131310002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2000131313 - 2⁴ = 2000131297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2000131303) 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 3 ways as a sum of consecutive naturals, for example, 43481093 + ... + 43481138.

It is an arithmetic number, because the mean of its divisors is an integer number (521773392).

Almost surely, 2^2000131313 is an apocalyptic number.

2000131313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2000131313 is a deficient number, since it is larger than the sum of its proper divisors (86962255).

2000131313 is an equidigital number, since it uses as much as digits as its factorization.

2000131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86962254.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2000131313 is about 44722.8276498703. The cubic root of 2000131313 is about 1259.9486232936.

Adding to 2000131313 its reverse (3131310002), we get a palindrome (5131441315).

Subtracting 2000131313 from its reverse (3131310002), we obtain a square (1131178689 = 33633²).

The spelling of 2000131313 in words is "two billion, one hundred thirty-one thousand, three hundred thirteen".