33120013 has 2 divisors, whose sum is σ = 33120014. Its totient is φ = 33120012.

The previous prime is 33119993. The next prime is 33120047. The reversal of 33120013 is 31002133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26245129 + 6874884 = 5123^2 + 2622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33120013 is a prime.

It is a super-2 number, since 2×33120013² = 2193870522240338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33119975 and 33120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33120053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560006 + 16560007.

It is an arithmetic number, because the mean of its divisors is an integer number (16560007).

Almost surely, 2^33120013 is an apocalyptic number.

It is an amenable number.

33120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120013 is an equidigital number, since it uses as much as digits as its factorization.

33120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 33120013 is about 5754.9989574282. The cubic root of 33120013 is about 321.1417967436.

Adding to 33120013 its reverse (31002133), we get a palindrome (64122146).

The spelling of 33120013 in words is "thirty-three million, one hundred twenty thousand, thirteen".