221312333331009 has 12 divisors (see below), whose sum is σ = 319694663666196. Its totient is φ = 147531727877472.

The previous prime is 221312333331007. The next prime is 221312333331031. The reversal of 221312333331009 is 900133333213122.

221312333331009 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 2 + 3 + 333 + 310 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184457902814784 + 36854430516225 = 13581528^2 + 6070785^2 .

It is not a de Polignac number, because 221312333331009 - 2¹ = 221312333331007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221312333331007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818830422 + ... + 819100655.

It is an arithmetic number, because the mean of its divisors is an integer number (26641221972183).

Almost surely, 2^{221312333331009} is an apocalyptic number.

It is an amenable number.

221312333331009 is a deficient number, since it is larger than the sum of its proper divisors (98382330335187).

221312333331009 is a wasteful number, since it uses less digits than its factorization.

221312333331009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637946096 (or 1637946093 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 221312333331009 in words is "two hundred twenty-one trillion, three hundred twelve billion, three hundred thirty-three million, three hundred thirty-one thousand, nine".