11330022003311 has 8 divisors (see below), whose sum is σ = 12429074419200. Its totient is φ = 10242477990040.

The previous prime is 11330022003193. The next prime is 11330022003319.

11330022003311 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 not a de Polignac number, because 11330022003311 - 2³⁴ = 11312842134127 is a prime.

It is a super-2 number, since 2×11330022003311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330022003319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2877098591 + ... + 2877102528.

It is an arithmetic number, because the mean of its divisors is an integer number (1553634302400).

Almost surely, 2^{11330022003311} is an apocalyptic number.

11330022003311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11330022003311 is a deficient number, since it is larger than the sum of its proper divisors (1099052415889).

11330022003311 is a wasteful number, since it uses less digits than its factorization.

11330022003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754201309.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1133002 and 2003311, that added together give a palindrome (3136313).

The spelling of 11330022003311 in words is "eleven trillion, three hundred thirty billion, twenty-two million, three thousand, three hundred eleven".