1338118331 has 16 divisors (see below), whose sum is σ = 1549173600. Its totient is φ = 1142292480.

The previous prime is 1338118307. The next prime is 1338118337.

1338118331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1338118331 - 2⁶ = 1338118267 is a prime.

It is a super-2 number, since 2×1338118331² = 3581121335516451122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338118337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75995 + ... + 91931.

It is an arithmetic number, because the mean of its divisors is an integer number (96823350).

Almost surely, 2^1338118331 is an apocalyptic number.

1338118331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1338118331 is a deficient number, since it is larger than the sum of its proper divisors (211055269).

1338118331 is a wasteful number, since it uses less digits than its factorization.

1338118331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16414.

The product of its digits is 5184, while the sum is 32.

The square root of 1338118331 is about 36580.2997664043. The cubic root of 1338118331 is about 1101.9574872462.

The spelling of 1338118331 in words is "one billion, three hundred thirty-eight million, one hundred eighteen thousand, three hundred thirty-one".