221312311000001 has 16 divisors (see below), whose sum is σ = 238435791487488. Its totient is φ = 204203045217600.

The previous prime is 221312310999929. The next prime is 221312311000003. The reversal of 221312311000001 is 100000113213122.

It is a de Polignac number, because none of the positive numbers 2^k-221312311000001 is a prime.

It is a super-2 number, since 2×221312311000001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221312311000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893680940 + ... + 893928546.

It is an arithmetic number, because the mean of its divisors is an integer number (14902236967968).

Almost surely, 2^{221312311000001} is an apocalyptic number.

It is an amenable number.

221312311000001 is a deficient number, since it is larger than the sum of its proper divisors (17123480487487).

221312311000001 is a wasteful number, since it uses less digits than its factorization.

221312311000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276032.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221312311000001 its reverse (100000113213122), we get a palindrome (321312424213123).

The spelling of 221312311000001 in words is "two hundred twenty-one trillion, three hundred twelve billion, three hundred eleven million, one", and thus it is an aban number.