33430140213313 has 2 divisors, whose sum is σ = 33430140213314. Its totient is φ = 33430140213312.

The previous prime is 33430140213307. The next prime is 33430140213319. The reversal of 33430140213313 is 31331204103433.

It is a balanced prime because it is at equal distance from previous prime (33430140213307) and next prime (33430140213319).

It can be written as a sum of positive squares in only one way, i.e., 17659258053264 + 15770882160049 = 4202292^2 + 3971257^2 .

It is a cyclic number.

It is not a de Polignac number, because 33430140213313 - 2²⁵ = 33430106658881 is a prime.

It is a super-2 number, since 2×33430140213313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33430140213319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16715070106656 + 16715070106657.

It is an arithmetic number, because the mean of its divisors is an integer number (16715070106657).

Almost surely, 2^{33430140213313} is an apocalyptic number.

It is an amenable number.

33430140213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33430140213313 is an equidigital number, since it uses as much as digits as its factorization.

33430140213313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 33430140213313 its reverse (31331204103433), we get a palindrome (64761344316746).

The spelling of 33430140213313 in words is "thirty-three trillion, four hundred thirty billion, one hundred forty million, two hundred thirteen thousand, three hundred thirteen".