33412143322013 has 2 divisors, whose sum is σ = 33412143322014. Its totient is φ = 33412143322012.

The previous prime is 33412143321967. The next prime is 33412143322027. The reversal of 33412143322013 is 31022334121433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33108539016004 + 303604306009 = 5754002^2 + 551003^2 .

It is a cyclic number.

It is not a de Polignac number, because 33412143322013 - 2²⁶ = 33412076213149 is a prime.

It is a super-2 number, since 2×33412143322013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33412143322043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16706071661006 + 16706071661007.

It is an arithmetic number, because the mean of its divisors is an integer number (16706071661007).

Almost surely, 2^{33412143322013} is an apocalyptic number.

It is an amenable number.

33412143322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33412143322013 is an equidigital number, since it uses as much as digits as its factorization.

33412143322013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 33412143322013 its reverse (31022334121433), we get a palindrome (64434477443446).

The spelling of 33412143322013 in words is "thirty-three trillion, four hundred twelve billion, one hundred forty-three million, three hundred twenty-two thousand, thirteen".