13320232311105 has 96 divisors (see below), whose sum is σ = 23752559244960. Its totient is φ = 6901309440000.

The previous prime is 13320232311103. The next prime is 13320232311131. The reversal of 13320232311105 is 50111323202331.

13320232311105 is a `hidden beast` number, since 1 + 3 + 320 + 2 + 3 + 231 + 1 + 105 = 666.

13320232311105 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 16 ways, for example, as 1980822611889 + 11339409699216 = 1407417^2 + 3367404^2 .

It is not a de Polignac number, because 13320232311105 - 2¹ = 13320232311103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13320232311103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431325265 + ... + 431356145.

It is an arithmetic number, because the mean of its divisors is an integer number (247422492135).

Almost surely, 2^{13320232311105} is an apocalyptic number.

13320232311105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13320232311105 is a deficient number, since it is larger than the sum of its proper divisors (10432326933855).

13320232311105 is a wasteful number, since it uses less digits than its factorization.

13320232311105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31923 (or 31920 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13320232311105 its reverse (50111323202331), we get a palindrome (63431555513436).

The spelling of 13320232311105 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-two million, three hundred eleven thousand, one hundred five".