10031133033 has 24 divisors (see below), whose sum is σ = 15631212168. Its totient is φ = 6175283712.

The previous prime is 10031132989. The next prime is 10031133107. The reversal of 10031133033 is 33033113001.

It can be written as a sum of positive squares in 4 ways, for example, as 3033475929 + 6997657104 = 55077^2 + 83652^2 .

It is not a de Polignac number, because 10031133033 - 2⁹ = 10031132521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031132997 and 10031133015.

It is not an unprimeable number, because it can be changed into a prime (10031533033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610410 + ... + 626627.

It is an arithmetic number, because the mean of its divisors is an integer number (651300507).

Almost surely, 2^10031133033 is an apocalyptic number.

It is an amenable number.

10031133033 is a deficient number, since it is larger than the sum of its proper divisors (5600079135).

10031133033 is a wasteful number, since it uses less digits than its factorization.

10031133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237113 (or 1237110 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10031133033 its reverse (33033113001), we get a palindrome (43064246034).

The spelling of 10031133033 in words is "ten billion, thirty-one million, one hundred thirty-three thousand, thirty-three".