33122011022133 has 48 divisors (see below), whose sum is σ = 50848511155200. Its totient is φ = 19016701270560.

The previous prime is 33122011022131. The next prime is 33122011022141.

33122011022133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33122011022133 - 2¹ = 33122011022131 is a prime.

It is a super-2 number, since 2×33122011022133² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122011022131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626347188 + ... + 626400066.

It is an arithmetic number, because the mean of its divisors is an integer number (1059343982400).

Almost surely, 2^{33122011022133} is an apocalyptic number.

33122011022133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33122011022133 is a deficient number, since it is larger than the sum of its proper divisors (17726500133067).

33122011022133 is a wasteful number, since it uses less digits than its factorization.

33122011022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105510 (or 105491 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3312201 and 1022133, that added together give a palindrome (4334334).

The spelling of 33122011022133 in words is "thirty-three trillion, one hundred twenty-two billion, eleven million, twenty-two thousand, one hundred thirty-three".