11313222231311 has 48 divisors (see below), whose sum is σ = 15373489969152. Its totient is φ = 8100890360640.

The previous prime is 11313222231299. The next prime is 11313222231319.

11313222231311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11313222231311 - 2¹⁴ = 11313222214927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313222231319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151760 + ... + 4759146.

It is an arithmetic number, because the mean of its divisors is an integer number (320281041024).

Almost surely, 2^{11313222231311} is an apocalyptic number.

11313222231311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11313222231311 is a deficient number, since it is larger than the sum of its proper divisors (4060267737841).

11313222231311 is a wasteful number, since it uses less digits than its factorization.

11313222231311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607652 (or 4607641 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 1131322 and 2231311, that added together give a palindrome (3362633).

The spelling of 11313222231311 in words is "eleven trillion, three hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, three hundred eleven".