1013320320012 has 576 divisors, whose sum is σ = 3541955149824. Its totient is φ = 235728506880.

The previous prime is 1013320319983. The next prime is 1013320320059. The reversal of 1013320320012 is 2100230233101.

1013320320012 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 0 + 320 + 0 + 12 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 609331893 + ... + 609333555.

Almost surely, 2^{1013320320012} is an apocalyptic number.

1013320320012 is a gapful number since it is divisible by the number (12) 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 1013320320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770977574912).

1013320320012 is an abundant number, since it is smaller than the sum of its proper divisors (2528634829812).

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

1013320320012 is a wasteful number, since it uses less digits than its factorization.

1013320320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2193 counting only the distinct ones).

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

Adding to 1013320320012 its reverse (2100230233101), we get a palindrome (3113550553113).

The spelling of 1013320320012 in words is "one trillion, thirteen billion, three hundred twenty million, three hundred twenty thousand, twelve".