1001313312 has 48 divisors (see below), whose sum is σ = 2678054400. Its totient is φ = 327471872.

The previous prime is 1001313253. The next prime is 1001313329. The reversal of 1001313312 is 2133131001.

1001313312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1001313291 and 1001313300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93312 + ... + 103487.

It is an arithmetic number, because the mean of its divisors is an integer number (55792800).

Almost surely, 2^1001313312 is an apocalyptic number.

1001313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001313312 is an abundant number, since it is smaller than the sum of its proper divisors (1676741088).

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

1001313312 is a wasteful number, since it uses less digits than its factorization.

1001313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196865 (or 196857 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1001313312 is about 31643.5350743244. The cubic root of 1001313312 is about 1000.4375791632.

Adding to 1001313312 its reverse (2133131001), we get a palindrome (3134444313).

The spelling of 1001313312 in words is "one billion, one million, three hundred thirteen thousand, three hundred twelve".