10303310220000 has 480 divisors, whose sum is σ = 38645802784512. Its totient is φ = 2353777152000.

The previous prime is 10303310219981. The next prime is 10303310220037. The reversal of 10303310220000 is 2201330301.

10303310220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 942054532 + ... + 942065468.

Almost surely, 2^{10303310220000} is an apocalyptic number.

10303310220000 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 10303310220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322901392256).

10303310220000 is an abundant number, since it is smaller than the sum of its proper divisors (28342492564512).

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

10303310220000 is a wasteful number, since it uses less digits than its factorization.

10303310220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13197 counting only the distinct ones).

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

Adding to 10303310220000 its reverse (2201330301), we get a palindrome (10305511550301).

The spelling of 10303310220000 in words is "ten trillion, three hundred three billion, three hundred ten million, two hundred twenty thousand".