2001211011331 has 8 divisors (see below), whose sum is σ = 2330251097184. Its totient is φ = 1682959125120.

The previous prime is 2001211011281. The next prime is 2001211011377. The reversal of 2001211011331 is 1331101121002.

It is a happy number.

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

It is not a de Polignac number, because 2001211011331 - 2⁷ = 2001211011203 is a prime.

It is a super-3 number, since 3×2001211011331³ (a number of 38 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 (2001211071331) 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, 2697049510 + ... + 2697050251.

It is an arithmetic number, because the mean of its divisors is an integer number (291281387148).

Almost surely, 2^{2001211011331} is an apocalyptic number.

2001211011331 is a deficient number, since it is larger than the sum of its proper divisors (329040085853).

2001211011331 is an equidigital number, since it uses as much as digits as its factorization.

2001211011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394099821.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2001211011331 its reverse (1331101121002), we get a palindrome (3332312132333).

The spelling of 2001211011331 in words is "two trillion, one billion, two hundred eleven million, eleven thousand, three hundred thirty-one".