33105222250133 has 8 divisors (see below), whose sum is σ = 36116213478240. Its totient is φ = 30094468616880.

The previous prime is 33105222250127. The next prime is 33105222250181.

33105222250133 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33105222250133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33105222250133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33105222253133) 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, 59107310 + ... + 59664767.

It is an arithmetic number, because the mean of its divisors is an integer number (4514526684780).

Almost surely, 2^{33105222250133} is an apocalyptic number.

It is an amenable number.

33105222250133 is a deficient number, since it is larger than the sum of its proper divisors (3010991228107).

33105222250133 is a wasteful number, since it uses less digits than its factorization.

33105222250133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118797427.

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 3310522 and 2250133, that added together give a palindrome (5560655).

The spelling of 33105222250133 in words is "thirty-three trillion, one hundred five billion, two hundred twenty-two million, two hundred fifty thousand, one hundred thirty-three".