221020313122233 has 6 divisors (see below), whose sum is σ = 319251563398794. Its totient is φ = 147346875414816.

The previous prime is 221020313122157. The next prime is 221020313122277. The reversal of 221020313122233 is 332221313020122.

221020313122233 is a `hidden beast` number, since 2 + 2 + 102 + 0 + 313 + 12 + 2 + 233 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150468175303209 + 70552137819024 = 12266547^2 + 8399532^2 .

It is a de Polignac number, because none of the positive numbers 2^k-221020313122233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221020313122197 and 221020313122206.

It is not an unprimeable number, because it can be changed into a prime (221020313122033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12278906284560 + ... + 12278906284577.

It is an arithmetic number, because the mean of its divisors is an integer number (53208593899799).

Almost surely, 2^{221020313122233} is an apocalyptic number.

It is an amenable number.

221020313122233 is a deficient number, since it is larger than the sum of its proper divisors (98231250276561).

221020313122233 is a wasteful number, since it uses less digits than its factorization.

221020313122233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24557812569143 (or 24557812569140 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221020313122233 its reverse (332221313020122), we get a palindrome (553241626142355).

The spelling of 221020313122233 in words is "two hundred twenty-one trillion, twenty billion, three hundred thirteen million, one hundred twenty-two thousand, two hundred thirty-three".