11331022313105 has 24 divisors (see below), whose sum is σ = 14988536745000. Its totient is φ = 8217130901760.

The previous prime is 11331022313071. The next prime is 11331022313111. The reversal of 11331022313105 is 50131322013311.

11331022313105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 131832895744 + 11199189417361 = 363088^2 + 3346519^2 .

It is not a de Polignac number, because 11331022313105 - 2²⁸ = 11330753877649 is a prime.

It is a super-3 number, since 3×11331022313105³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26621180 + ... + 27043469.

It is an arithmetic number, because the mean of its divisors is an integer number (624522364375).

Almost surely, 2^{11331022313105} is an apocalyptic number.

It is an amenable number.

11331022313105 is a deficient number, since it is larger than the sum of its proper divisors (3657514431895).

11331022313105 is a wasteful number, since it uses less digits than its factorization.

11331022313105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53665025 (or 53665014 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 11331022313105 its reverse (50131322013311), we get a palindrome (61462344326416).

The spelling of 11331022313105 in words is "eleven trillion, three hundred thirty-one billion, twenty-two million, three hundred thirteen thousand, one hundred five".