1038313221 has 24 divisors (see below), whose sum is σ = 1523733120. Its totient is φ = 628446720.

The previous prime is 1038313207. The next prime is 1038313259. The reversal of 1038313221 is 1223138301.

It is not a de Polignac number, because 1038313221 - 2²⁶ = 971204357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1038313191 and 1038313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038313261) 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 23 ways as a sum of consecutive naturals, for example, 375781 + ... + 378533.

It is an arithmetic number, because the mean of its divisors is an integer number (63488880).

Almost surely, 2^1038313221 is an apocalyptic number.

1038313221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1038313221 is a deficient number, since it is larger than the sum of its proper divisors (485419899).

1038313221 is a wasteful number, since it uses less digits than its factorization.

1038313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1038313221 is about 32222.8679822265. The cubic root of 1038313221 is about 1012.6113587014.

The spelling of 1038313221 in words is "one billion, thirty-eight million, three hundred thirteen thousand, two hundred twenty-one".