1338617313 has 48 divisors (see below), whose sum is σ = 2192662080. Its totient is φ = 807079680.

The previous prime is 1338617309. The next prime is 1338617353. The reversal of 1338617313 is 3137168331.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1338617313 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 617 + 31 + 3 = 666.

It is not a de Polignac number, because 1338617313 - 2² = 1338617309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1338617353) 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, 6935745 + ... + 6935937.

It is an arithmetic number, because the mean of its divisors is an integer number (45680460).

Almost surely, 2^1338617313 is an apocalyptic number.

It is an amenable number.

1338617313 is a deficient number, since it is larger than the sum of its proper divisors (854044767).

1338617313 is an frugal number, since it uses more digits than its factorization.

1338617313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 207 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1338617313 is about 36587.1194958007. The cubic root of 1338617313 is about 1102.0944429013.

The spelling of 1338617313 in words is "one billion, three hundred thirty-eight million, six hundred seventeen thousand, three hundred thirteen".