311041002104221 has 32 divisors (see below), whose sum is σ = 321424976083680. Its totient is φ = 300796954214400.

The previous prime is 311041002104179. The next prime is 311041002104243. The reversal of 311041002104221 is 122401200140113.

It can be written as a sum of positive squares in 16 ways, for example, as 186606664764025 + 124434337340196 = 13660405^2 + 11155014^2 .

It is not a de Polignac number, because 311041002104221 - 2⁹ = 311041002103709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311041002104192 and 311041002104201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311041002104251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29186538925 + ... + 29186549581.

It is an arithmetic number, because the mean of its divisors is an integer number (10044530502615).

Almost surely, 2^{311041002104221} is an apocalyptic number.

It is an amenable number.

311041002104221 is a deficient number, since it is larger than the sum of its proper divisors (10383973979459).

311041002104221 is a wasteful number, since it uses less digits than its factorization.

311041002104221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17985.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 311041002104221 its reverse (122401200140113), we get a palindrome (433442202244334).

The spelling of 311041002104221 in words is "three hundred eleven trillion, forty-one billion, two million, one hundred four thousand, two hundred twenty-one".