11222113313333 has 48 divisors (see below), whose sum is σ = 13874090832000. Its totient is φ = 9011115509760.

The previous prime is 11222113313311. The next prime is 11222113313347. The reversal of 11222113313333 is 33331331122211.

It is not a de Polignac number, because 11222113313333 - 2²² = 11222109119029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11222113313296 and 11222113313305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222113313833) 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, 269033 + ... + 4745166.

It is an arithmetic number, because the mean of its divisors is an integer number (289043559000).

Almost surely, 2^{11222113313333} is an apocalyptic number.

11222113313333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11222113313333 is a deficient number, since it is larger than the sum of its proper divisors (2651977518667).

11222113313333 is a wasteful number, since it uses less digits than its factorization.

11222113313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014302 (or 5014289 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

Adding to 11222113313333 its reverse (33331331122211), we get a palindrome (44553444435544).

The spelling of 11222113313333 in words is "eleven trillion, two hundred twenty-two billion, one hundred thirteen million, three hundred thirteen thousand, three hundred thirty-three".