2011223312321 has 8 divisors (see below), whose sum is σ = 2014847131560. Its totient is φ = 2007601892352.

The previous prime is 2011223312299. The next prime is 2011223312363. The reversal of 2011223312321 is 1232133221102.

It can be written as a sum of positive squares in 4 ways, for example, as 89365123600 + 1921858188721 = 298940^2 + 1386311^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2011223312321 - 2³⁰ = 2010149570497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011223312381) 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, 1082465 + ... + 2279073.

It is an arithmetic number, because the mean of its divisors is an integer number (251855891445).

Almost surely, 2^{2011223312321} is an apocalyptic number.

It is an amenable number.

2011223312321 is a deficient number, since it is larger than the sum of its proper divisors (3623819239).

2011223312321 is a wasteful number, since it uses less digits than its factorization.

2011223312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199635.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2011223312321 its reverse (1232133221102), we get a palindrome (3243356533423).

The spelling of 2011223312321 in words is "two trillion, eleven billion, two hundred twenty-three million, three hundred twelve thousand, three hundred twenty-one".