2011321222331 has 16 divisors (see below), whose sum is σ = 2136845733120. Its totient is φ = 1889046186720.

The previous prime is 2011321222283. The next prime is 2011321222363. The reversal of 2011321222331 is 1332221231102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011321222331 is a prime.

It is a super-2 number, since 2×2011321222331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011321222297 and 2011321222306.

It is not an unprimeable number, because it can be changed into a prime (2011321224331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288716 + ... + 2026326.

It is an arithmetic number, because the mean of its divisors is an integer number (133552858320).

Almost surely, 2^{2011321222331} is an apocalyptic number.

2011321222331 is a deficient number, since it is larger than the sum of its proper divisors (125524510789).

2011321222331 is a wasteful number, since it uses less digits than its factorization.

2011321222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738546.

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

Adding to 2011321222331 its reverse (1332221231102), we get a palindrome (3343542453433).

The spelling of 2011321222331 in words is "two trillion, eleven billion, three hundred twenty-one million, two hundred twenty-two thousand, three hundred thirty-one".