41233033013 has 2 divisors, whose sum is σ = 41233033014. Its totient is φ = 41233033012.

The previous prime is 41233033003. The next prime is 41233033019. The reversal of 41233033013 is 31033033214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41195603089 + 37429924 = 202967^2 + 6118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41233033013 is a prime.

It is a super-2 number, since 2×41233033013² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41233033013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41233033019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20616516506 + 20616516507.

It is an arithmetic number, because the mean of its divisors is an integer number (20616516507).

Almost surely, 2^41233033013 is an apocalyptic number.

It is an amenable number.

41233033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

41233033013 is an equidigital number, since it uses as much as digits as its factorization.

41233033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 41233033013 its reverse (31033033214), we get a palindrome (72266066227).

The spelling of 41233033013 in words is "forty-one billion, two hundred thirty-three million, thirty-three thousand, thirteen".