320321013012 has 864 divisors, whose sum is σ = 1150882596864. Its totient is φ = 72503424000.

The previous prime is 320321012981. The next prime is 320321013043. The reversal of 320321013012 is 210310123023.

320321013012 is a `hidden beast` number, since 320 + 3 + 210 + 130 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (320321012981) and next prime (320321013043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 2121331137 + ... + 2121331287.

Almost surely, 2^320321013012 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 320321013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575441298432).

320321013012 is an abundant number, since it is smaller than the sum of its proper divisors (830561583852).

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

320321013012 is a wasteful number, since it uses less digits than its factorization.

320321013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320321013012 its reverse (210310123023), we get a palindrome (530631136035).

The spelling of 320321013012 in words is "three hundred twenty billion, three hundred twenty-one million, thirteen thousand, twelve".