1003312313 has 8 divisors (see below), whose sum is σ = 1049872968. Its totient is φ = 957775104.

The previous prime is 1003312283. The next prime is 1003312339. The reversal of 1003312313 is 3132133001.

It can be written as a sum of positive squares in 4 ways, for example, as 655974544 + 347337769 = 25612^2 + 18637^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003312313 - 2¹² = 1003308217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003312291 and 1003312300.

It is not an unprimeable number, because it can be changed into a prime (1003312393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253856 + ... + 257777.

It is an arithmetic number, because the mean of its divisors is an integer number (131234121).

Almost surely, 2^1003312313 is an apocalyptic number.

It is an amenable number.

1003312313 is a deficient number, since it is larger than the sum of its proper divisors (46560655).

1003312313 is an equidigital number, since it uses as much as digits as its factorization.

1003312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511723.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1003312313 is about 31675.1055720419. The cubic root of 1003312313 is about 1001.1028875253.

Adding to 1003312313 its reverse (3132133001), we get a palindrome (4135445314).

The spelling of 1003312313 in words is "one billion, three million, three hundred twelve thousand, three hundred thirteen".