1304413313 has 8 divisors (see below), whose sum is σ = 1491412032. Its totient is φ = 1117578096.

The previous prime is 1304413303. The next prime is 1304413339. The reversal of 1304413313 is 3133144031.

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 1304413313 - 2⁶ = 1304413249 is a prime.

It is a super-3 number, since 3×1304413313³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1304413303) 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, 23270 + ... + 56127.

It is an arithmetic number, because the mean of its divisors is an integer number (186426504).

Almost surely, 2^1304413313 is an apocalyptic number.

It is an amenable number.

1304413313 is a deficient number, since it is larger than the sum of its proper divisors (186998719).

1304413313 is an equidigital number, since it uses as much as digits as its factorization.

1304413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81751.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 1304413313 is about 36116.6625396091. The cubic root of 1304413313 is about 1092.6265287111.

Adding to 1304413313 its reverse (3133144031), we get a palindrome (4437557344).

The spelling of 1304413313 in words is "one billion, three hundred four million, four hundred thirteen thousand, three hundred thirteen".