1000232013 has 16 divisors (see below), whose sum is σ = 1457467200. Its totient is φ = 605124480.

The previous prime is 1000231997. The next prime is 1000232017. The reversal of 1000232013 is 3102320001.

It is a happy number.

It is not a de Polignac number, because 1000232013 - 2⁴ = 1000231997 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000232013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000232017) 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 15 ways as a sum of consecutive naturals, for example, 7858 + ... + 45411.

It is an arithmetic number, because the mean of its divisors is an integer number (91091700).

Almost surely, 2^1000232013 is an apocalyptic number.

It is an amenable number.

1000232013 is a deficient number, since it is larger than the sum of its proper divisors (457235187).

1000232013 is a wasteful number, since it uses less digits than its factorization.

1000232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53852.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000232013 is about 31626.4448365604. Note that the first 3 decimals coincide. The cubic root of 1000232013 is about 1000.0773316863.

Adding to 1000232013 its reverse (3102320001), we get a palindrome (4102552014).

The spelling of 1000232013 in words is "one billion, two hundred thirty-two thousand, thirteen".