2011201320 has 128 divisors (see below), whose sum is σ = 6418621440. Its totient is φ = 502394880.

The previous prime is 2011201277. The next prime is 2011201321. The reversal of 2011201320 is 231021102.

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 = 2011201296 and 2011201305.

It is not an unprimeable number, because it can be changed into a prime (2011201321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452710 + ... + 457130.

It is an arithmetic number, because the mean of its divisors is an integer number (50145480).

Almost surely, 2^2011201320 is an apocalyptic number.

2011201320 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 2011201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209310720).

2011201320 is an abundant number, since it is smaller than the sum of its proper divisors (4407420120).

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

2011201320 is a wasteful number, since it uses less digits than its factorization.

2011201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011201320 is about 44846.4192550531. The cubic root of 2011201320 is about 1262.2688021564.

Adding to 2011201320 its reverse (231021102), we get a palindrome (2242222422).

The spelling of 2011201320 in words is "two billion, eleven million, two hundred one thousand, three hundred twenty".