13105252200000 has 672 divisors, whose sum is σ = 44285462798976. Its totient is φ = 3419136000000.

The previous prime is 13105252199987. The next prime is 13105252200017. The reversal of 13105252200000 is 225250131.

It is a self number, because there is not a number n which added to its sum of digits gives 13105252200000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7722599152 + ... + 7722600848.

It is an arithmetic number, because the mean of its divisors is an integer number (65900986308).

Almost surely, 2^{13105252200000} is an apocalyptic number.

13105252200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105252200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22142731399488).

13105252200000 is an abundant number, since it is smaller than the sum of its proper divisors (31180210598976).

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

13105252200000 is an equidigital number, since it uses as much as digits as its factorization.

13105252200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 13105252200000 its reverse (225250131), we get a palindrome (13105477450131).

The spelling of 13105252200000 in words is "thirteen trillion, one hundred five billion, two hundred fifty-two million, two hundred thousand".