2013320331000 has 1152 divisors, whose sum is σ = 7951571409600. Its totient is φ = 458244864000.

The previous prime is 2013320330933. The next prime is 2013320331023. The reversal of 2013320331000 is 1330233102.

2013320331000 is a `hidden beast` number, since 2 + 0 + 1 + 332 + 0 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2013320331000² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1168496139 + ... + 1168497861.

Almost surely, 2^{2013320331000} is an apocalyptic number.

2013320331000 is a gapful number since it is divisible by the number (20) 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 2013320331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975785704800).

2013320331000 is an abundant number, since it is smaller than the sum of its proper divisors (5938251078600).

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

2013320331000 is a wasteful number, since it uses less digits than its factorization.

2013320331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2013320331000 its reverse (1330233102), we get a palindrome (2014650564102).

The spelling of 2013320331000 in words is "two trillion, thirteen billion, three hundred twenty million, three hundred thirty-one thousand".