1000108033 has 2 divisors, whose sum is σ = 1000108034. Its totient is φ = 1000108032.

The previous prime is 1000108009. The next prime is 1000108049. The reversal of 1000108033 is 3308010001.

It is an a-pointer prime, because the next prime (1000108049) can be obtained adding 1000108033 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999634689 + 473344 = 31617^2 + 688^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000108033 - 2¹⁷ = 999976961 is a prime.

It is a super-2 number, since 2×1000108033² = 2000432155342258178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000107998 and 1000108016.

It is not a weakly prime, because it can be changed into another prime (1000108003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500054016 + 500054017.

It is an arithmetic number, because the mean of its divisors is an integer number (500054017).

Almost surely, 2^1000108033 is an apocalyptic number.

It is an amenable number.

1000108033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000108033 is an equidigital number, since it uses as much as digits as its factorization.

1000108033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1000108033 is about 31624.4847072644. The cubic root of 1000108033 is about 1000.0360097033.

Adding to 1000108033 its reverse (3308010001), we get a palindrome (4308118034).

The spelling of 1000108033 in words is "one billion, one hundred eight thousand, thirty-three".