13042033 has 2 divisors, whose sum is σ = 13042034. Its totient is φ = 13042032.

The previous prime is 13042013. The next prime is 13042069. The reversal of 13042033 is 33024031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12475024 + 567009 = 3532^2 + 753^2 .

It is a cyclic number.

It is not a de Polignac number, because 13042033 - 2⁹ = 13041521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13041998 and 13042016.

It is not a weakly prime, because it can be changed into another prime (13042013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6521016 + 6521017.

It is an arithmetic number, because the mean of its divisors is an integer number (6521017).

Almost surely, 2^13042033 is an apocalyptic number.

It is an amenable number.

13042033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13042033 is an equidigital number, since it uses as much as digits as its factorization.

13042033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 13042033 is about 3611.3754997231. The cubic root of 13042033 is about 235.3866157515.

Adding to 13042033 its reverse (33024031), we get a palindrome (46066064).

The spelling of 13042033 in words is "thirteen million, forty-two thousand, thirty-three".