221330123001333 has 24 divisors (see below), whose sum is σ = 324943826623416. Its totient is φ = 145132813296000.

The previous prime is 221330123001283. The next prime is 221330123001359. The reversal of 221330123001333 is 333100321033122.

221330123001333 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 301 + 23 + 0 + 0 + 1 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2446590248964 + 218883532752369 = 1564158^2 + 14794713^2 .

It is not a de Polignac number, because 221330123001333 - 2⁸ = 221330123001077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221330123001297 and 221330123001306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330123001373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45628483 + ... + 50245583.

It is an arithmetic number, because the mean of its divisors is an integer number (13539326109309).

Almost surely, 2^{221330123001333} is an apocalyptic number.

It is an amenable number.

221330123001333 is a deficient number, since it is larger than the sum of its proper divisors (103613703622083).

221330123001333 is a wasteful number, since it uses less digits than its factorization.

221330123001333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704485 (or 4704482 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 221330123001333 its reverse (333100321033122), we get a palindrome (554430444034455).

The spelling of 221330123001333 in words is "two hundred twenty-one trillion, three hundred thirty billion, one hundred twenty-three million, one thousand, three hundred thirty-three".