11121201012311 has 16 divisors (see below), whose sum is σ = 12607151424000. Its totient is φ = 9725328682848.

The previous prime is 11121201012293. The next prime is 11121201012329. The reversal of 11121201012311 is 11321010212111.

It is an interprime number because it is at equal distance from previous prime (11121201012293) and next prime (11121201012329).

It is a cyclic number.

It is not a de Polignac number, because 11121201012311 - 2¹⁰ = 11121201011287 is a prime.

It is a super-2 number, since 2×11121201012311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11121201012311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121201015311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41581790 + ... + 41848388.

It is an arithmetic number, because the mean of its divisors is an integer number (787946964000).

Almost surely, 2^{11121201012311} is an apocalyptic number.

11121201012311 is a deficient number, since it is larger than the sum of its proper divisors (1485950411689).

11121201012311 is a wasteful number, since it uses less digits than its factorization.

11121201012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435518.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 11121201012311 its reverse (11321010212111), we get a palindrome (22442211224422).

The spelling of 11121201012311 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, twelve thousand, three hundred eleven".