311221113201001 has 4 divisors (see below), whose sum is σ = 318811872059604. Its totient is φ = 303630354342400.

The previous prime is 311221113200981. The next prime is 311221113201049. The reversal of 311221113201001 is 100102311122113.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 107805629936601 + 203415483264400 = 10382949^2 + 14262380^2 .

It is a cyclic number.

It is not a de Polignac number, because 311221113201001 - 2⁷ = 311221113200873 is a prime.

It is a super-3 number, since 3×311221113201001³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311221113201001.

It is not an unprimeable number, because it can be changed into a prime (311221113201091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3795379429240 + ... + 3795379429321.

It is an arithmetic number, because the mean of its divisors is an integer number (79702968014901).

Almost surely, 2^{311221113201001} is an apocalyptic number.

It is an amenable number.

311221113201001 is a deficient number, since it is larger than the sum of its proper divisors (7590758858603).

311221113201001 is an equidigital number, since it uses as much as digits as its factorization.

311221113201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590758858602.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 311221113201001 its reverse (100102311122113), we get a palindrome (411323424323114).

The spelling of 311221113201001 in words is "three hundred eleven trillion, two hundred twenty-one billion, one hundred thirteen million, two hundred one thousand, one".