3200302130000 has 200 divisors, whose sum is σ = 7869561840360. Its totient is φ = 1260230400000.

The previous prime is 3200302129979. The next prime is 3200302130017. The reversal of 3200302130000 is 312030023.

It can be written as a sum of positive squares in 20 ways, for example, as 3182056604224 + 18245525776 = 1783832^2 + 135076^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 171120650 + ... + 171139350.

Almost surely, 2^{3200302130000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200302130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934780920180).

3200302130000 is an abundant number, since it is smaller than the sum of its proper divisors (4669259710360).

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

3200302130000 is a wasteful number, since it uses less digits than its factorization.

3200302130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18995 (or 18974 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 3200302130000 its reverse (312030023), we get a palindrome (3200614160023).

The spelling of 3200302130000 in words is "three trillion, two hundred billion, three hundred two million, one hundred thirty thousand".