3311220221133 has 192 divisors, whose sum is σ = 5305382240256. Its totient is φ = 1830398169600.

The previous prime is 3311220221131. The next prime is 3311220221171.

3311220221133 is nontrivially palindromic in base 10.

3311220221133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3311220221133 - 2¹ = 3311220221131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311220221131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4891019191 + ... + 4891019867.

It is an arithmetic number, because the mean of its divisors is an integer number (27632199168).

Almost surely, 2^{3311220221133} is an apocalyptic number.

3311220221133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3311220221133 is a deficient number, since it is larger than the sum of its proper divisors (1994162019123).

3311220221133 is a wasteful number, since it uses less digits than its factorization.

3311220221133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1045 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, 3311220 and 221133, that added together give a palindrome (3532353).

The spelling of 3311220221133 in words is "three trillion, three hundred eleven billion, two hundred twenty million, two hundred twenty-one thousand, one hundred thirty-three".