33220213129 has 2 divisors, whose sum is σ = 33220213130. Its totient is φ = 33220213128.

The previous prime is 33220213099. The next prime is 33220213151. The reversal of 33220213129 is 92131202233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33218707600 + 1505529 = 182260^2 + 1227^2 .

It is a cyclic number.

It is not a de Polignac number, because 33220213129 - 2¹⁷ = 33220082057 is a prime.

It is a super-2 number, since 2×33220213129² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33220213097 and 33220213106.

It is not a weakly prime, because it can be changed into another prime (33220213189) 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 as a sum of consecutive naturals, namely, 16610106564 + 16610106565.

It is an arithmetic number, because the mean of its divisors is an integer number (16610106565).

Almost surely, 2^33220213129 is an apocalyptic number.

It is an amenable number.

33220213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33220213129 is an equidigital number, since it uses as much as digits as its factorization.

33220213129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 33220213129 in words is "thirty-three billion, two hundred twenty million, two hundred thirteen thousand, one hundred twenty-nine".