33122222222133 has 32 divisors (see below), whose sum is σ = 48452978737152. Its totient is φ = 19959591254400.

The previous prime is 33122222222093. The next prime is 33122222222227.

It is a happy number.

33122222222133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33122222222133 - 2²⁰ = 33122221173557 is a prime.

It is a super-2 number, since 2×33122222222133² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33122222222133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122222622133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4890316 + ... + 9495242.

It is an arithmetic number, because the mean of its divisors is an integer number (1514155585536).

Almost surely, 2^{33122222222133} is an apocalyptic number.

33122222222133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33122222222133 is a deficient number, since it is larger than the sum of its proper divisors (15330756515019).

33122222222133 is a wasteful number, since it uses less digits than its factorization.

33122222222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606185.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 3312222 and 2222133, that added together give a palindrome (5534355).

The spelling of 33122222222133 in words is "thirty-three trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-three".