33113 has 2 divisors, whose sum is σ = 33114. Its totient is φ = 33112.

The previous prime is 33107. The next prime is 33119. The reversal of 33113 is 31133.

It is a balanced prime because it is at equal distance from previous prime (33107) and next prime (33119).

It can be written as a sum of positive squares in only one way, i.e., 24649 + 8464 = 157^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 33113 - 2⁶ = 33049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33094 and 33103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556 + 16557.

It is an arithmetic number, because the mean of its divisors is an integer number (16557).

2³³¹¹³ is an apocalyptic number.

It is an amenable number.

33113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33113 is an equidigital number, since it uses as much as digits as its factorization.

33113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27, while the sum is 11.

The square root of 33113 is about 181.9697777105. The cubic root of 33113 is about 32.1119128411. Note that the first 3 decimals are identical.

Adding to 33113 its sum of digits (11), we get a square (33124 = 182²).

Adding to 33113 its reverse (31133), we get a palindrome (64246).

It can be divided in two parts, 3 and 3113, that multiplied together give a palindrome (9339).

The spelling of 33113 in words is "thirty-three thousand, one hundred thirteen".