13048033 has 2 divisors, whose sum is σ = 13048034. Its totient is φ = 13048032.

The previous prime is 13048001. The next prime is 13048039. The reversal of 13048033 is 33084031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12909649 + 138384 = 3593^2 + 372^2 .

It is a cyclic number.

It is not a de Polignac number, because 13048033 - 2⁵ = 13048001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13047995 and 13048013.

It is not a weakly prime, because it can be changed into another prime (13048039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6524016 + 6524017.

It is an arithmetic number, because the mean of its divisors is an integer number (6524017).

Almost surely, 2^13048033 is an apocalyptic number.

It is an amenable number.

13048033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13048033 is an equidigital number, since it uses as much as digits as its factorization.

13048033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13048033 is about 3612.2061126132. The cubic root of 13048033 is about 235.4227068316.

The spelling of 13048033 in words is "thirteen million, forty-eight thousand, thirty-three".