1000442313 has 24 divisors (see below), whose sum is σ = 1604924640. Its totient is φ = 615654000.

The previous prime is 1000442309. The next prime is 1000442341. The reversal of 1000442313 is 3132440001.

1000442313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000442313 - 2² = 1000442309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000440313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105063 + ... + 114188.

It is an arithmetic number, because the mean of its divisors is an integer number (66871860).

Almost surely, 2^1000442313 is an apocalyptic number.

1000442313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000442313 is a deficient number, since it is larger than the sum of its proper divisors (604482327).

1000442313 is a wasteful number, since it uses less digits than its factorization.

1000442313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219286 (or 219267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1000442313 is about 31629.7694111102. The cubic root of 1000442313 is about 1000.1474159341.

Adding to 1000442313 its reverse (3132440001), we get a palindrome (4132882314).

The spelling of 1000442313 in words is "one billion, four hundred forty-two thousand, three hundred thirteen".