33121022213 has 16 divisors (see below), whose sum is σ = 34013332080. Its totient is φ = 32243904000.

The previous prime is 33121022203. The next prime is 33121022273. The reversal of 33121022213 is 31222012133.

It can be written as a sum of positive squares in 8 ways, for example, as 957469249 + 32163552964 = 30943^2 + 179342^2 .

It is a cyclic number.

It is not a de Polignac number, because 33121022213 - 2¹⁰ = 33121021189 is a prime.

It is a super-2 number, since 2×33121022213² (a number of 22 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 (33121022203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1616831 + ... + 1637187.

It is an arithmetic number, because the mean of its divisors is an integer number (2125833255).

Almost surely, 2^33121022213 is an apocalyptic number.

It is an amenable number.

33121022213 is a deficient number, since it is larger than the sum of its proper divisors (892309867).

33121022213 is a wasteful number, since it uses less digits than its factorization.

33121022213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20728.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 33121022213 its reverse (31222012133), we get a palindrome (64343034346).

The spelling of 33121022213 in words is "thirty-three billion, one hundred twenty-one million, twenty-two thousand, two hundred thirteen".