200133313123221 has 6 divisors (see below), whose sum is σ = 289081452289110. Its totient is φ = 133422208748808.

The previous prime is 200133313123213. The next prime is 200133313123279. The reversal of 200133313123221 is 122321313331002.

200133313123221 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 3 + 313 + 123 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 198861186294225 + 1272126828996 = 14101815^2 + 1127886^2 .

It is not a de Polignac number, because 200133313123221 - 2³ = 200133313123213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200133313123921) 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, 11118517395726 + ... + 11118517395743.

It is an arithmetic number, because the mean of its divisors is an integer number (48180242048185).

Almost surely, 2^{200133313123221} is an apocalyptic number.

It is an amenable number.

200133313123221 is a deficient number, since it is larger than the sum of its proper divisors (88948139165889).

200133313123221 is a wasteful number, since it uses less digits than its factorization.

200133313123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22237034791475 (or 22237034791472 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 200133313123221 its reverse (122321313331002), we get a palindrome (322454626454223).

The spelling of 200133313123221 in words is "two hundred trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred twenty-one".