11031222213011 has 144 divisors (see below), whose sum is σ = 15336527063328. Its totient is φ = 7841643264000.

The previous prime is 11031222212993. The next prime is 11031222213017.

11031222213011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11031222213011 is a prime.

It is a super-2 number, since 2×11031222213011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11031222213017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10055808215 + ... + 10055809311.

It is an arithmetic number, because the mean of its divisors is an integer number (106503660162).

Almost surely, 2^{11031222213011} is an apocalyptic number.

11031222213011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11031222213011 is a deficient number, since it is larger than the sum of its proper divisors (4305304850317).

11031222213011 is a wasteful number, since it uses less digits than its factorization.

11031222213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1103122 and 2213011, that added together give a palindrome (3316133).

The spelling of 11031222213011 in words is "eleven trillion, thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, eleven".