11313422431311 has 128 divisors (see below), whose sum is σ = 20824004984832. Its totient is φ = 5273154432000.

The previous prime is 11313422431309. The next prime is 11313422431343.

It is a happy number.

11313422431311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11313422431311 - 2¹ = 11313422431309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313422431211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33196800 + ... + 33535866.

It is an arithmetic number, because the mean of its divisors is an integer number (162687538944).

Almost surely, 2^{11313422431311} is an apocalyptic number.

11313422431311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11313422431311 is a deficient number, since it is larger than the sum of its proper divisors (9510582553521).

11313422431311 is a wasteful number, since it uses less digits than its factorization.

11313422431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339413.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1131342 and 2431311, that added together give a palindrome (3562653).

The spelling of 11313422431311 in words is "eleven trillion, three hundred thirteen billion, four hundred twenty-two million, four hundred thirty-one thousand, three hundred eleven".