13250109604900 has 243 divisors, whose sum is σ = 33769806705369. Its totient is φ = 4499475966720.

The previous prime is 13250109604817. The next prime is 13250109604999. The reversal of 13250109604900 is 940690105231.

The square root of 13250109604900 is 3640070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10733368497124 + 2516741107776 = 3276182^2 + 1586424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37965929926 + ... + 37965930274.

Almost surely, 2^{13250109604900} is an apocalyptic number.

13250109604900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13250109604900 is the 3640070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13250109604900

13250109604900 is an abundant number, since it is smaller than the sum of its proper divisors (20519697100469).

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

13250109604900 is an equidigital number, since it uses as much as digits as its factorization.

13250109604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 13250109604900 in words is "thirteen trillion, two hundred fifty billion, one hundred nine million, six hundred four thousand, nine hundred".