2221000031311 has 8 divisors (see below), whose sum is σ = 2275373671200. Its totient is φ = 2166636053760.

The previous prime is 2221000031267. The next prime is 2221000031377. The reversal of 2221000031311 is 1131300001222.

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 2221000031311 - 2³¹ = 2218852547663 is a prime.

It is a super-2 number, since 2×2221000031311² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221000031011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949146 + ... + 2870743.

It is an arithmetic number, because the mean of its divisors is an integer number (284421708900).

Almost surely, 2^{2221000031311} is an apocalyptic number.

2221000031311 is a deficient number, since it is larger than the sum of its proper divisors (54373639889).

2221000031311 is a wasteful number, since it uses less digits than its factorization.

2221000031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831169.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2221000031311 its reverse (1131300001222), we get a palindrome (3352300032533).

The spelling of 2221000031311 in words is "two trillion, two hundred twenty-one billion, thirty-one thousand, three hundred eleven".