13105434446650 has 576 divisors, whose sum is σ = 31888443696480. Its totient is φ = 3969191116800.

The previous prime is 13105434446627. The next prime is 13105434446719. The reversal of 13105434446650 is 5664443450131.

It can be written as a sum of positive squares in 48 ways, for example, as 11354938744681 + 1750495701969 = 3369709^2 + 1323063^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13105434446650.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14107033386 + ... + 14107034314.

Almost surely, 2^{13105434446650} is an apocalyptic number.

13105434446650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105434446650 is an abundant number, since it is smaller than the sum of its proper divisors (18783009249830).

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

13105434446650 is a wasteful number, since it uses less digits than its factorization.

13105434446650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

Adding to 13105434446650 its reverse (5664443450131), we get a palindrome (18769877896781).

The spelling of 13105434446650 in words is "thirteen trillion, one hundred five billion, four hundred thirty-four million, four hundred forty-six thousand, six hundred fifty".