2011011331 has 8 divisors (see below), whose sum is σ = 2303266304. Its totient is φ = 1719998280.

The previous prime is 2011011307. The next prime is 2011011389. The reversal of 2011011331 is 1331101102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2011011331 - 2¹⁹ = 2010487043 is a prime.

It is a super-3 number, since 3×2011011331³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011011631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307005 + ... + 313486.

It is an arithmetic number, because the mean of its divisors is an integer number (287908288).

Almost surely, 2^2011011331 is an apocalyptic number.

2011011331 is a deficient number, since it is larger than the sum of its proper divisors (292254973).

2011011331 is an equidigital number, since it uses as much as digits as its factorization.

2011011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620961.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2011011331 is about 44844.3009868590. The cubic root of 2011011331 is about 1262.2290539825.

Adding to 2011011331 its reverse (1331101102), we get a palindrome (3342112433).

The spelling of 2011011331 in words is "two billion, eleven million, eleven thousand, three hundred thirty-one".