2211221320331 has 8 divisors (see below), whose sum is σ = 2212325010000. Its totient is φ = 2210117784480.

The previous prime is 2211221320309. The next prime is 2211221320337. The reversal of 2211221320331 is 1330231221122.

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 2211221320331 - 2¹⁸ = 2211221058187 is a prime.

It is a super-3 number, since 3×2211221320331³ (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 a junction number, because it is equal to n+sod(n) for n = 2211221320297 and 2211221320306.

It is not an unprimeable number, because it can be changed into a prime (2211221320337) 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, 37594976 + ... + 37653746.

It is an arithmetic number, because the mean of its divisors is an integer number (276540626250).

Almost surely, 2^{2211221320331} is an apocalyptic number.

2211221320331 is a deficient number, since it is larger than the sum of its proper divisors (1103689669).

2211221320331 is a wasteful number, since it uses less digits than its factorization.

2211221320331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76909.

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

Adding to 2211221320331 its reverse (1330231221122), we get a palindrome (3541452541453).

The spelling of 2211221320331 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, three hundred twenty thousand, three hundred thirty-one".