33221312105213 has 2 divisors, whose sum is σ = 33221312105214. Its totient is φ = 33221312105212.

The previous prime is 33221312105209. The next prime is 33221312105221. The reversal of 33221312105213 is 31250121312233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33219695904409 + 1616200804 = 5763653^2 + 40202^2 .

It is a cyclic number.

It is not a de Polignac number, because 33221312105213 - 2² = 33221312105209 is a prime.

It is a super-2 number, since 2×33221312105213² (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 (33221312105263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16610656052606 + 16610656052607.

It is an arithmetic number, because the mean of its divisors is an integer number (16610656052607).

Almost surely, 2^{33221312105213} is an apocalyptic number.

It is an amenable number.

33221312105213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33221312105213 is an equidigital number, since it uses as much as digits as its factorization.

33221312105213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 33221312105213 its reverse (31250121312233), we get a palindrome (64471433417446).

The spelling of 33221312105213 in words is "thirty-three trillion, two hundred twenty-one billion, three hundred twelve million, one hundred five thousand, two hundred thirteen".