13105405530120 has 128 divisors (see below), whose sum is σ = 42026242487040. Its totient is φ = 3261295656960.

The previous prime is 13105405530037. The next prime is 13105405530121. The reversal of 13105405530120 is 2103550450131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13105405530121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57793369 + ... + 58019688.

It is an arithmetic number, because the mean of its divisors is an integer number (328330019430).

Almost surely, 2^{13105405530120} is an apocalyptic number.

13105405530120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105405530120 is an abundant number, since it is smaller than the sum of its proper divisors (28920836956920).

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

13105405530120 is a wasteful number, since it uses less digits than its factorization.

13105405530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115813135 (or 115813131 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 13105405530120 its reverse (2103550450131), we get a palindrome (15208955980251).

The spelling of 13105405530120 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred thirty thousand, one hundred twenty".