13105522413353 has 16 divisors (see below), whose sum is σ = 13492530634320. Its totient is φ = 12720268512000.

The previous prime is 13105522413257. The next prime is 13105522413367. The reversal of 13105522413353 is 35331422550131.

13105522413353 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 8 ways, for example, as 44837215504 + 13060685197849 = 211748^2 + 3613957^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105522413353 - 2¹² = 13105522409257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105522413553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34017503 + ... + 34400603.

It is an arithmetic number, because the mean of its divisors is an integer number (843283164645).

Almost surely, 2^{13105522413353} is an apocalyptic number.

It is an amenable number.

13105522413353 is a deficient number, since it is larger than the sum of its proper divisors (387008220967).

13105522413353 is a wasteful number, since it uses less digits than its factorization.

13105522413353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385388.

The product of its (nonzero) digits is 162000, while the sum is 38.

Adding to 13105522413353 its reverse (35331422550131), we get a palindrome (48436944963484).

The spelling of 13105522413353 in words is "thirteen trillion, one hundred five billion, five hundred twenty-two million, four hundred thirteen thousand, three hundred fifty-three".