1338628313 has 32 divisors (see below), whose sum is σ = 1613399040. Its totient is φ = 1097490240.

The previous prime is 1338628301. The next prime is 1338628321. The reversal of 1338628313 is 3138268331.

It is not a de Polignac number, because 1338628313 - 2¹⁴ = 1338611929 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1338628373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313370 + ... + 317612.

It is an arithmetic number, because the mean of its divisors is an integer number (50418720).

Almost surely, 2^1338628313 is an apocalyptic number.

It is an amenable number.

1338628313 is a deficient number, since it is larger than the sum of its proper divisors (274770727).

1338628313 is a wasteful number, since it uses less digits than its factorization.

1338628313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349.

The product of its digits is 62208, while the sum is 38.

The square root of 1338628313 is about 36587.2698216197. The cubic root of 1338628313 is about 1102.0974616893.

The spelling of 1338628313 in words is "one billion, three hundred thirty-eight million, six hundred twenty-eight thousand, three hundred thirteen".