2011331240341 has 24 divisors (see below), whose sum is σ = 2196486845960. Its totient is φ = 1840061878272.

The previous prime is 2011331240329. The next prime is 2011331240363. The reversal of 2011331240341 is 1430421331102.

It can be written as a sum of positive squares in 12 ways, for example, as 505137132900 + 1506194107441 = 710730^2 + 1227271^2 .

It is not a de Polignac number, because 2011331240341 - 2⁵ = 2011331240309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011331240311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10954825 + ... + 11136913.

Almost surely, 2^{2011331240341} is an apocalyptic number.

It is an amenable number.

2011331240341 is a deficient number, since it is larger than the sum of its proper divisors (185155605619).

2011331240341 is a wasteful number, since it uses less digits than its factorization.

2011331240341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183193 (or 183176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2011331240341 its reverse (1430421331102), we get a palindrome (3441752571443).

The spelling of 2011331240341 in words is "two trillion, eleven billion, three hundred thirty-one million, two hundred forty thousand, three hundred forty-one".