13105405530336 has 96 divisors (see below), whose sum is σ = 39599067352320. Its totient is φ = 3717463412736.

The previous prime is 13105405530331. The next prime is 13105405530337. The reversal of 13105405530336 is 63303550450131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13105405530336² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13105405530294 and 13105405530303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105405530331) 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, 70058001 + ... + 70244816.

It is an arithmetic number, because the mean of its divisors is an integer number (412490284920).

Almost surely, 2^{13105405530336} is an apocalyptic number.

13105405530336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13105405530336 is an abundant number, since it is smaller than the sum of its proper divisors (26493661821984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105405530336 is a wasteful number, since it uses less digits than its factorization.

13105405530336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140302976 (or 140302968 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

Adding to 13105405530336 its reverse (63303550450131), we get a palindrome (76408955980467).

The spelling of 13105405530336 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred thirty thousand, three hundred thirty-six".