11221011022013 has 8 divisors (see below), whose sum is σ = 12093044622456. Its totient is φ = 10350245836800.

The previous prime is 11221011022003. The next prime is 11221011022093. The reversal of 11221011022013 is 31022011012211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 624436585369 + 10596574436644 = 790213^2 + 3255238^2 .

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 11221011022013 - 2⁸ = 11221011021757 is a prime.

It is a super-2 number, since 2×11221011022013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11221011021982 and 11221011022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221011022003) 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 7 ways as a sum of consecutive naturals, for example, 317085428 + ... + 317120813.

It is an arithmetic number, because the mean of its divisors is an integer number (1511630577807).

Almost surely, 2^{11221011022013} is an apocalyptic number.

11221011022013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11221011022013 is a deficient number, since it is larger than the sum of its proper divisors (872033600443).

11221011022013 is a wasteful number, since it uses less digits than its factorization.

11221011022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634207615.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11221011022013 its reverse (31022011012211), we get a palindrome (42243022034224).

The spelling of 11221011022013 in words is "eleven trillion, two hundred twenty-one billion, eleven million, twenty-two thousand, thirteen".