1000233013 has 8 divisors (see below), whose sum is σ = 1097498808. Its totient is φ = 905870784.

The previous prime is 1000233001. The next prime is 1000233041. The reversal of 1000233013 is 3103320001.

It can be written as a sum of positive squares in 4 ways, for example, as 211353444 + 788879569 = 14538^2 + 28087^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1000233013 - 2⁹ = 1000232501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000232984 and 1000233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000233053) 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 7 ways as a sum of consecutive naturals, for example, 725170 + ... + 726547.

It is an arithmetic number, because the mean of its divisors is an integer number (137187351).

Almost surely, 2^1000233013 is an apocalyptic number.

1000233013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000233013 is a deficient number, since it is larger than the sum of its proper divisors (97265795).

1000233013 is a wasteful number, since it uses less digits than its factorization.

1000233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451783.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1000233013 is about 31626.4606461109. The cubic root of 1000233013 is about 1000.0776649680.

Adding to 1000233013 its reverse (3103320001), we get a palindrome (4103553014).

The spelling of 1000233013 in words is "one billion, two hundred thirty-three thousand, thirteen".