10128033 has 12 divisors (see below), whose sum is σ = 14657188. Its totient is φ = 6739200.

The previous prime is 10128031. The next prime is 10128043. The reversal of 10128033 is 33082101.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 9941409 = 432^2 + 3153^2 .

It is not a de Polignac number, because 10128033 - 2¹ = 10128031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10127997 and 10128015.

It is not an unprimeable number, because it can be changed into a prime (10128031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7833 + ... + 9033.

Almost surely, 2^10128033 is an apocalyptic number.

It is an amenable number.

10128033 is a deficient number, since it is larger than the sum of its proper divisors (4529155).

10128033 is a wasteful number, since it uses less digits than its factorization.

10128033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10128033 is about 3182.4570696240. The cubic root of 10128033 is about 216.3590350831.

It can be divided in two parts, 1012 and 8033, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 10128033 in words is "ten million, one hundred twenty-eight thousand, thirty-three".