33120113 has 6 divisors (see below), whose sum is σ = 35863974. Its totient is φ = 30572256.

The previous prime is 33120103. The next prime is 33120119. The reversal of 33120113 is 31102133.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 33097009 = 152^2 + 5753^2 .

It is not a de Polignac number, because 33120113 - 2⁶ = 33120049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33120119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97820 + ... + 98157.

It is an arithmetic number, because the mean of its divisors is an integer number (5977329).

Almost surely, 2^33120113 is an apocalyptic number.

It is an amenable number.

33120113 is a deficient number, since it is larger than the sum of its proper divisors (2743861).

33120113 is a wasteful number, since it uses less digits than its factorization.

33120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196003 (or 195990 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 33120113 is about 5755.0076455206. The cubic root of 33120113 is about 321.1421199535.

Adding to 33120113 its reverse (31102133), we get a palindrome (64222246).

It can be divided in two parts, 33120 and 113, that added together give a palindrome (33233).

The spelling of 33120113 in words is "thirty-three million, one hundred twenty thousand, one hundred thirteen".