13353521322105 has 12 divisors (see below), whose sum is σ = 23146103625060. Its totient is φ = 7121878038432.

The previous prime is 13353521322101. The next prime is 13353521322139. The reversal of 13353521322105 is 50122312535331.

13353521322105 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 521 + 3 + 22 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3629676539241 + 9723844782864 = 1905171^2 + 3118308^2 .

It is not a de Polignac number, because 13353521322105 - 2² = 13353521322101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13353521322105.

It is not an unprimeable number, because it can be changed into a prime (13353521322101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148372459090 + ... + 148372459179.

It is an arithmetic number, because the mean of its divisors is an integer number (1928841968755).

Almost surely, 2^{13353521322105} is an apocalyptic number.

13353521322105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13353521322105 is a deficient number, since it is larger than the sum of its proper divisors (9792582302955).

13353521322105 is a wasteful number, since it uses less digits than its factorization.

13353521322105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296744918280 (or 296744918277 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13353521322105 its reverse (50122312535331), we get a palindrome (63475833857436).

The spelling of 13353521322105 in words is "thirteen trillion, three hundred fifty-three billion, five hundred twenty-one million, three hundred twenty-two thousand, one hundred five".