33130313 has 2 divisors, whose sum is σ = 33130314. Its totient is φ = 33130312.

The previous prime is 33130283. The next prime is 33130333. The reversal of 33130313 is 31303133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32684089 + 446224 = 5717^2 + 668^2 .

It is an emirp because it is prime and its reverse (31303133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33130313 - 2⁸ = 33130057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33130291 and 33130300.

It is not a weakly prime, because it can be changed into another prime (33130333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565156 + 16565157.

It is an arithmetic number, because the mean of its divisors is an integer number (16565157).

Almost surely, 2^33130313 is an apocalyptic number.

It is an amenable number.

33130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33130313 is an equidigital number, since it uses as much as digits as its factorization.

33130313 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 33130313 is about 5755.8937620495. The cubic root of 33130313 is about 321.1750839454.

Adding to 33130313 its reverse (31303133), we get a palindrome (64433446).

It can be divided in two parts, 3 and 3130313, that multiplied together give a palindrome (9390939).

The spelling of 33130313 in words is "thirty-three million, one hundred thirty thousand, three hundred thirteen".