1338353121 has 48 divisors (see below), whose sum is σ = 2118156480. Its totient is φ = 749347200.

The previous prime is 1338353117. The next prime is 1338353131. The reversal of 1338353121 is 1213538331.

It is not a de Polignac number, because 1338353121 - 2² = 1338353117 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1338353131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1617910 + ... + 1618736.

It is an arithmetic number, because the mean of its divisors is an integer number (44128260).

Almost surely, 2^1338353121 is an apocalyptic number.

It is an amenable number.

1338353121 is a deficient number, since it is larger than the sum of its proper divisors (779803359).

1338353121 is a wasteful number, since it uses less digits than its factorization.

1338353121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 1338353121 is about 36583.5088667011. The cubic root of 1338353121 is about 1102.0219343287.

The spelling of 1338353121 in words is "one billion, three hundred thirty-eight million, three hundred fifty-three thousand, one hundred twenty-one".