1303030330000 has 400 divisors, whose sum is σ = 3650941324800. Its totient is φ = 441158400000.

The previous prime is 1303030329971. The next prime is 1303030330051. The reversal of 1303030330000 is 330303031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 79 ways as a sum of consecutive naturals, for example, 2826529770 + ... + 2826530230.

It is an arithmetic number, because the mean of its divisors is an integer number (9127353312).

Almost surely, 2^{1303030330000} is an apocalyptic number.

1303030330000 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 1303030330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825470662400).

1303030330000 is an abundant number, since it is smaller than the sum of its proper divisors (2347910994800).

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

1303030330000 is a wasteful number, since it uses less digits than its factorization.

1303030330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 16.

Adding to 1303030330000 its reverse (330303031), we get a palindrome (1303360633031).

The spelling of 1303030330000 in words is "one trillion, three hundred three billion, thirty million, three hundred thirty thousand".