3200130000000 has 1152 divisors, whose sum is σ = 12215614235760. Its totient is φ = 803520000000.

The previous prime is 3200129999999. The next prime is 3200130000019. The reversal of 3200130000000 is 310023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2420214935616 + 779915064384 = 1555704^2 + 883128^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86489999982 + ... + 86490000018.

Almost surely, 2^{3200130000000} is an apocalyptic number.

3200130000000 is a gapful number since it is divisible by the number (30) 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 3200130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107807117880).

3200130000000 is an abundant number, since it is smaller than the sum of its proper divisors (9015484235760).

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

3200130000000 is an frugal number, since it uses more digits than its factorization.

3200130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 78 counting only the distinct ones).

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

Adding to 3200130000000 its reverse (310023), we get a palindrome (3200130310023).

The spelling of 3200130000000 in words is "three trillion, two hundred billion, one hundred thirty million", and thus it is an aban number.