1304401313 has 8 divisors (see below), whose sum is σ = 1383693480. Its totient is φ = 1225393920.

The previous prime is 1304401261. The next prime is 1304401327. The reversal of 1304401313 is 3131044031.

It can be written as a sum of positive squares in 4 ways, for example, as 74356129 + 1230045184 = 8623^2 + 35072^2 .

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 1304401313 - 2¹⁴ = 1304384929 is a prime.

It is a super-2 number, since 2×1304401313² = 3402925570712247938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1304401333) 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, 61718 + ... + 80111.

It is an arithmetic number, because the mean of its divisors is an integer number (172961685).

Almost surely, 2^1304401313 is an apocalyptic number.

It is an amenable number.

1304401313 is a deficient number, since it is larger than the sum of its proper divisors (79292167).

1304401313 is a wasteful number, since it uses less digits than its factorization.

1304401313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142387.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1304401313 is about 36116.4964109200. The cubic root of 1304401313 is about 1092.6231781477.

Adding to 1304401313 its reverse (3131044031), we get a palindrome (4435445344).

The spelling of 1304401313 in words is "one billion, three hundred four million, four hundred one thousand, three hundred thirteen".