33321013300133 has 8 divisors (see below), whose sum is σ = 36006639737208. Its totient is φ = 30652882801344.

The previous prime is 33321013300111. The next prime is 33321013300139. The reversal of 33321013300133 is 33100331012333.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12220743489124 + 21100269811009 = 3495818^2 + 4593503^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33321013300133 - 2¹⁰ = 33321013299109 is a prime.

It is a super-2 number, since 2×33321013300133² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33321013300139) 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 in 7 ways as a sum of consecutive naturals, for example, 4373980610 + ... + 4373988227.

It is an arithmetic number, because the mean of its divisors is an integer number (4500829967151).

Almost surely, 2^{33321013300133} is an apocalyptic number.

It is an amenable number.

33321013300133 is a deficient number, since it is larger than the sum of its proper divisors (2685626437075).

33321013300133 is a wasteful number, since it uses less digits than its factorization.

33321013300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747969143.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 33321013300133 its reverse (33100331012333), we get a palindrome (66421344312466).

The spelling of 33321013300133 in words is "thirty-three trillion, three hundred twenty-one billion, thirteen million, three hundred thousand, one hundred thirty-three".