221311311001 has 16 divisors (see below), whose sum is σ = 243643940928. Its totient is φ = 199348710400.

The previous prime is 221311310947. The next prime is 221311311017. The reversal of 221311311001 is 100113113122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 221311311001 - 2²⁷ = 221177093273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221311311071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4163745 + ... + 4216561.

It is an arithmetic number, because the mean of its divisors is an integer number (15227746308).

Almost surely, 2^221311311001 is an apocalyptic number.

It is an amenable number.

221311311001 is a deficient number, since it is larger than the sum of its proper divisors (22332629927).

221311311001 is a wasteful number, since it uses less digits than its factorization.

221311311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56312.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 221311311001 its reverse (100113113122), we get a palindrome (321424424123).

The spelling of 221311311001 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred eleven thousand, one".