1313414304 has 24 divisors (see below), whose sum is σ = 3447712800. Its totient is φ = 437804736.

The previous prime is 1313414257. The next prime is 1313414341. The reversal of 1313414304 is 4034143131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6840604 + ... + 6840795.

It is an arithmetic number, because the mean of its divisors is an integer number (143654700).

Almost surely, 2^1313414304 is an apocalyptic number.

It is an amenable number.

1313414304 is an abundant number, since it is smaller than the sum of its proper divisors (2134298496).

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

1313414304 is a wasteful number, since it uses less digits than its factorization.

1313414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13681412 (or 13681404 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1313414304 is about 36241.0582626943. The cubic root of 1313414304 is about 1095.1339616344.

Adding to 1313414304 its reverse (4034143131), we get a palindrome (5347557435).

The spelling of 1313414304 in words is "one billion, three hundred thirteen million, four hundred fourteen thousand, three hundred four".