2001013320 has 128 divisors (see below), whose sum is σ = 6136041600. Its totient is φ = 521877504.

The previous prime is 2001013307. The next prime is 2001013337. The reversal of 2001013320 is 233101002.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001013296 and 2001013305.

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 31 ways as a sum of consecutive naturals, for example, 1649034 + ... + 1650246.

It is an arithmetic number, because the mean of its divisors is an integer number (47937825).

Almost surely, 2^2001013320 is an apocalyptic number.

2001013320 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 2001013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068020800).

2001013320 is an abundant number, since it is smaller than the sum of its proper divisors (4135028280).

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

2001013320 is a wasteful number, since it uses less digits than its factorization.

2001013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1515 counting only the distinct ones).

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

The square root of 2001013320 is about 44732.6873773530. The cubic root of 2001013320 is about 1260.1337978350.

Adding to 2001013320 its reverse (233101002), we get a palindrome (2234114322).

The spelling of 2001013320 in words is "two billion, one million, thirteen thousand, three hundred twenty".