320012013000 has 128 divisors (see below), whose sum is σ = 1032866640000. Its totient is φ = 82393875200.

The previous prime is 320012012993. The next prime is 320012013001. The reversal of 320012013000 is 310210023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (320012013001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1752150 + ... + 1926149.

It is an arithmetic number, because the mean of its divisors is an integer number (8069270625).

Almost surely, 2^320012013000 is an apocalyptic number.

320012013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320012013000 is an abundant number, since it is smaller than the sum of its proper divisors (712854627000).

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

320012013000 is a wasteful number, since it uses less digits than its factorization.

320012013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678352 (or 3678338 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 320012013000 its reverse (310210023), we get a palindrome (320322223023).

The spelling of 320012013000 in words is "three hundred twenty billion, twelve million, thirteen thousand".