201233321333121 has 64 divisors (see below), whose sum is σ = 338579981107200. Its totient is φ = 103267574015040.

The previous prime is 201233321333081. The next prime is 201233321333167. The reversal of 201233321333121 is 121333123332102.

It is not a de Polignac number, because 201233321333121 - 2¹⁷ = 201233321202049 is a prime.

It is a super-2 number, since 2×201233321333121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201233321335121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205102680 + ... + 206081478.

It is an arithmetic number, because the mean of its divisors is an integer number (5290312204800).

Almost surely, 2^{201233321333121} is an apocalyptic number.

201233321333121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201233321333121 is a deficient number, since it is larger than the sum of its proper divisors (137346659774079).

201233321333121 is a wasteful number, since it uses less digits than its factorization.

201233321333121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989626.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 201233321333121 its reverse (121333123332102), we get a palindrome (322566444665223).

The spelling of 201233321333121 in words is "two hundred one trillion, two hundred thirty-three billion, three hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty-one".