10303200000000 has 1296 divisors, whose sum is σ = 39302382220920. Its totient is φ = 2695680000000.

The previous prime is 10303199999987. The next prime is 10303200000001. The reversal of 10303200000000 is 230301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303200000001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 194399999974 + ... + 194400000026.

Almost surely, 2^{10303200000000} is an apocalyptic number.

10303200000000 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 10303200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651191110460).

10303200000000 is an abundant number, since it is smaller than the sum of its proper divisors (28999182220920).

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

10303200000000 is an frugal number, since it uses more digits than its factorization.

10303200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10303200000000 its reverse (230301), we get a palindrome (10303200230301).

The spelling of 10303200000000 in words is "ten trillion, three hundred three billion, two hundred million", and thus it is an aban number.