33013313 has 2 divisors, whose sum is σ = 33013314. Its totient is φ = 33013312.

The previous prime is 33013297. The next prime is 33013319. The reversal of 33013313 is 31331033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31225744 + 1787569 = 5588^2 + 1337^2 .

It is an emirp because it is prime and its reverse (31331033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33013313 - 2⁴ = 33013297 is a prime.

It is a super-3 number, since 3×33013313³ (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33013291 and 33013300.

It is not a weakly prime, because it can be changed into another prime (33013319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506656 + 16506657.

It is an arithmetic number, because the mean of its divisors is an integer number (16506657).

Almost surely, 2^33013313 is an apocalyptic number.

It is an amenable number.

33013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013313 is an equidigital number, since it uses as much as digits as its factorization.

33013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 33013313 is about 5745.7212776117. The cubic root of 33013313 is about 320.7965604375.

Adding to 33013313 its reverse (31331033), we get a palindrome (64344346).

The spelling of 33013313 in words is "thirty-three million, thirteen thousand, three hundred thirteen".