311221122001 has 8 divisors (see below), whose sum is σ = 311907715560. Its totient is φ = 310534824192.

The previous prime is 311221121987. The next prime is 311221122061. The reversal of 311221122001 is 100221122113.

It can be written as a sum of positive squares in 4 ways, for example, as 9134580625 + 302086541376 = 95575^2 + 549624^2 .

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 311221122001 - 2⁷ = 311221121873 is a prime.

It is a super-3 number, since 3×311221122001³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311221122061) 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, 2103411 + ... + 2246503.

It is an arithmetic number, because the mean of its divisors is an integer number (38988464445).

Almost surely, 2^311221122001 is an apocalyptic number.

It is an amenable number.

311221122001 is a deficient number, since it is larger than the sum of its proper divisors (686593559).

311221122001 is a wasteful number, since it uses less digits than its factorization.

311221122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147875.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 311221122001 its reverse (100221122113), we get a palindrome (411442244114).

The spelling of 311221122001 in words is "three hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one".