33032120413 has 2 divisors, whose sum is σ = 33032120414. Its totient is φ = 33032120412.

The previous prime is 33032120411. The next prime is 33032120417. The reversal of 33032120413 is 31402123033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20262668409 + 12769452004 = 142347^2 + 113002^2 .

It is a cyclic number.

It is not a de Polignac number, because 33032120413 - 2¹ = 33032120411 is a prime.

It is a super-2 number, since 2×33032120413² (a number of 22 digits) contains 22 as substring.

Together with 33032120411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33032120411) 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, 16516060206 + 16516060207.

It is an arithmetic number, because the mean of its divisors is an integer number (16516060207).

Almost surely, 2^33032120413 is an apocalyptic number.

It is an amenable number.

33032120413 is a deficient number, since it is larger than the sum of its proper divisors (1).

33032120413 is an equidigital number, since it uses as much as digits as its factorization.

33032120413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33032120413 its reverse (31402123033), we get a palindrome (64434243446).

The spelling of 33032120413 in words is "thirty-three billion, thirty-two million, one hundred twenty thousand, four hundred thirteen".