13125033 has 6 divisors (see below), whose sum is σ = 18958394. Its totient is φ = 8750016.

The previous prime is 13125001. The next prime is 13125053. The reversal of 13125033 is 33052131.

It can be written as a sum of positive squares in only one way, i.e., 12938409 + 186624 = 3597^2 + 432^2 .

It is not a de Polignac number, because 13125033 - 2⁵ = 13125001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13124997 and 13125015.

It is not an unprimeable number, because it can be changed into a prime (13125053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729160 + ... + 729177.

Almost surely, 2^13125033 is an apocalyptic number.

It is an amenable number.

13125033 is a deficient number, since it is larger than the sum of its proper divisors (5833361).

13125033 is a wasteful number, since it uses less digits than its factorization.

13125033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458343 (or 1458340 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13125033 is about 3622.8487409772. The cubic root of 13125033 is about 235.8848967095.

Adding to 13125033 its reverse (33052131), we get a palindrome (46177164).

The spelling of 13125033 in words is "thirteen million, one hundred twenty-five thousand, thirty-three".