2000313312 has 96 divisors (see below), whose sum is σ = 5767614720. Its totient is φ = 604200960.

The previous prime is 2000313311. The next prime is 2000313323. The reversal of 2000313312 is 2133130002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2000313291 and 2000313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000313311) 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, 18112 + ... + 65792.

It is an arithmetic number, because the mean of its divisors is an integer number (60079320).

Almost surely, 2^2000313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883807360).

2000313312 is an abundant number, since it is smaller than the sum of its proper divisors (3767301408).

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

2000313312 is a wasteful number, since it uses less digits than its factorization.

2000313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47736 (or 47728 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2000313312 is about 44724.8623474684. The cubic root of 2000313312 is about 1259.9868378570.

Adding to 2000313312 its reverse (2133130002), we get a palindrome (4133443314).

The spelling of 2000313312 in words is "two billion, three hundred thirteen thousand, three hundred twelve".