10303213200000 has 768 divisors, whose sum is σ = 39358260910080. Its totient is φ = 2339136000000.

The previous prime is 10303213199963. The next prime is 10303213200001. The reversal of 10303213200000 is 231230301.

10303213200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10303213200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1268395939 + ... + 1268404061.

It is an arithmetic number, because the mean of its divisors is an integer number (51247735560).

Almost surely, 2^{10303213200000} is an apocalyptic number.

10303213200000 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 10303213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679130455040).

10303213200000 is an abundant number, since it is smaller than the sum of its proper divisors (29055047710080).

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

10303213200000 is an frugal number, since it uses more digits than its factorization.

10303213200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10303213200000 its reverse (231230301), we get a palindrome (10303444430301).

The spelling of 10303213200000 in words is "ten trillion, three hundred three billion, two hundred thirteen million, two hundred thousand".