13105325534353 has 12 divisors (see below), whose sum is σ = 14458728036060. Its totient is φ = 11868974060736.

The previous prime is 13105325534351. The next prime is 13105325534437. The reversal of 13105325534353 is 35343552350131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 39580306704 + 13065745227649 = 198948^2 + 3614657^2 .

It is not a de Polignac number, because 13105325534353 - 2¹ = 13105325534351 is a prime.

It is a super-2 number, since 2×13105325534353² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105325534351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731559958 + ... + 731577871.

It is an arithmetic number, because the mean of its divisors is an integer number (1204894003005).

Almost surely, 2^{13105325534353} is an apocalyptic number.

13105325534353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13105325534353 is a deficient number, since it is larger than the sum of its proper divisors (1353402501707).

13105325534353 is a wasteful number, since it uses less digits than its factorization.

13105325534353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463137908 (or 1463137895 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 43.

Adding to 13105325534353 its reverse (35343552350131), we get a palindrome (48448877884484).

The spelling of 13105325534353 in words is "thirteen trillion, one hundred five billion, three hundred twenty-five million, five hundred thirty-four thousand, three hundred fifty-three".