320130000000 has 384 divisors, whose sum is σ = 1151830059120. Its totient is φ = 85344000000.

The previous prime is 320129999963. The next prime is 320130000053. The reversal of 320130000000 is 31023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 318339694656 + 1790305344 = 564216^2 + 42312^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89998222 + ... + 90001778.

Almost surely, 2^320130000000 is an apocalyptic number.

320130000000 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 320130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575915029560).

320130000000 is an abundant number, since it is smaller than the sum of its proper divisors (831700059120).

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

320130000000 is an frugal number, since it uses more digits than its factorization.

320130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3567 counting only the distinct ones).

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

Adding to 320130000000 its reverse (31023), we get a palindrome (320130031023).

The spelling of 320130000000 in words is "three hundred twenty billion, one hundred thirty million", and thus it is an aban number.