1303406313 has 48 divisors (see below), whose sum is σ = 1959581568. Its totient is φ = 769824000.

The previous prime is 1303406309. The next prime is 1303406323. The reversal of 1303406313 is 3136043031.

It is not a de Polignac number, because 1303406313 - 2² = 1303406309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1303406323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2676156 + ... + 2676642.

It is an arithmetic number, because the mean of its divisors is an integer number (40824616).

Almost surely, 2^1303406313 is an apocalyptic number.

It is an amenable number.

1303406313 is a deficient number, since it is larger than the sum of its proper divisors (656175255).

1303406313 is a wasteful number, since it uses less digits than its factorization.

1303406313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 1303406313 is about 36102.7189142314. The cubic root of 1303406313 is about 1092.3452890763.

Adding to 1303406313 its reverse (3136043031), we get a palindrome (4439449344).

The spelling of 1303406313 in words is "one billion, three hundred three million, four hundred six thousand, three hundred thirteen".