3311440441133 has 24 divisors (see below), whose sum is σ = 3831899601600. Its totient is φ = 2851600308480.

The previous prime is 3311440441129. The next prime is 3311440441139.

3311440441133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3311440441133 - 2² = 3311440441129 is a prime.

It is a super-2 number, since 2×3311440441133² (a number of 26 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 3311440441133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311440441139) 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 in 23 ways as a sum of consecutive naturals, for example, 19117328 + ... + 19289766.

It is an arithmetic number, because the mean of its divisors is an integer number (159662483400).

Almost surely, 2^{3311440441133} is an apocalyptic number.

It is an amenable number.

3311440441133 is a deficient number, since it is larger than the sum of its proper divisors (520459160467).

3311440441133 is a wasteful number, since it uses less digits than its factorization.

3311440441133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180833 (or 180822 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 3311440 and 441133, that added together give a palindrome (3752573).

The spelling of 3311440441133 in words is "three trillion, three hundred eleven billion, four hundred forty million, four hundred forty-one thousand, one hundred thirty-three".