10213010320000 has 160 divisors (see below), whose sum is σ = 25671512861280. Its totient is φ = 4045538688000.

The previous prime is 10213010319947. The next prime is 10213010320033. The reversal of 10213010320000 is 2301031201.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7620279 + ... + 8859721.

It is an arithmetic number, because the mean of its divisors is an integer number (160446955383).

Almost surely, 2^{10213010320000} is an apocalyptic number.

10213010320000 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 10213010320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835756430640).

10213010320000 is an abundant number, since it is smaller than the sum of its proper divisors (15458502541280).

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

10213010320000 is an equidigital number, since it uses as much as digits as its factorization.

10213010320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239580 (or 1239553 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10213010320000 its reverse (2301031201), we get a palindrome (10215311351201).

The spelling of 10213010320000 in words is "ten trillion, two hundred thirteen billion, ten million, three hundred twenty thousand".