1001123305 has 32 divisors (see below), whose sum is σ = 1480598784. Its totient is φ = 632814336.

The previous prime is 1001123293. The next prime is 1001123309. The reversal of 1001123305 is 5033211001.

It is not a de Polignac number, because 1001123305 - 2²¹ = 999026153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001123309) 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, 580174 + ... + 581896.

It is an arithmetic number, because the mean of its divisors is an integer number (46268712).

Almost surely, 2^1001123305 is an apocalyptic number.

It is an amenable number.

1001123305 is a deficient number, since it is larger than the sum of its proper divisors (479475479).

1001123305 is a wasteful number, since it uses less digits than its factorization.

1001123305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1001123305 is about 31640.5326282602. The cubic root of 1001123305 is about 1000.3742948859.

Adding to 1001123305 its reverse (5033211001), we get a palindrome (6034334306).

The spelling of 1001123305 in words is "one billion, one million, one hundred twenty-three thousand, three hundred five".