1000311223221 has 16 divisors (see below), whose sum is σ = 1482864796800. Its totient is φ = 666459139104.

The previous prime is 1000311223213. The next prime is 1000311223231. The reversal of 1000311223221 is 1223221130001.

1000311223221 is a `hidden beast` number, since 10 + 0 + 0 + 311 + 22 + 322 + 1 = 666.

It is not a de Polignac number, because 1000311223221 - 2³ = 1000311223213 is a prime.

It is a super-2 number, since 2×1000311223221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000311223194 and 1000311223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000311223231) 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, 11483856 + ... + 11570633.

It is an arithmetic number, because the mean of its divisors is an integer number (92679049800).

Almost surely, 2^{1000311223221} is an apocalyptic number.

It is an amenable number.

1000311223221 is a deficient number, since it is larger than the sum of its proper divisors (482553573579).

1000311223221 is a wasteful number, since it uses less digits than its factorization.

1000311223221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23056105 (or 23056099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1000311223221 its reverse (1223221130001), we get a palindrome (2223532353222).

The spelling of 1000311223221 in words is "one trillion, three hundred eleven million, two hundred twenty-three thousand, two hundred twenty-one".