33022134531013 has 2 divisors, whose sum is σ = 33022134531014. Its totient is φ = 33022134531012.

The previous prime is 33022134530999. The next prime is 33022134531049. The reversal of 33022134531013 is 31013543122033.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23044003373889 + 9978131157124 = 4800417^2 + 3158818^2 .

It is an emirp because it is prime and its reverse (31013543122033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33022134531013 - 2²¹ = 33022132433861 is a prime.

It is a super-2 number, since 2×33022134531013² (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 (33022134531613) 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, 16511067265506 + 16511067265507.

It is an arithmetic number, because the mean of its divisors is an integer number (16511067265507).

Almost surely, 2^{33022134531013} is an apocalyptic number.

It is an amenable number.

33022134531013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33022134531013 is an equidigital number, since it uses as much as digits as its factorization.

33022134531013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 33022134531013 its reverse (31013543122033), we get a palindrome (64035677653046).

The spelling of 33022134531013 in words is "thirty-three trillion, twenty-two billion, one hundred thirty-four million, five hundred thirty-one thousand, thirteen".