33442341323121 has 48 divisors (see below), whose sum is σ = 48997589921280. Its totient is φ = 21977514086400.

The previous prime is 33442341323117. The next prime is 33442341323129. The reversal of 33442341323121 is 12132314324433.

33442341323121 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 2 + 3 + 413 + 231 + 2 + 1 = 666.

It is not a de Polignac number, because 33442341323121 - 2² = 33442341323117 is a prime.

It is a super-2 number, since 2×33442341323121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33442341323129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227191896 + ... + 227339046.

It is an arithmetic number, because the mean of its divisors is an integer number (1020783123360).

Almost surely, 2^{33442341323121} is an apocalyptic number.

It is an amenable number.

33442341323121 is a deficient number, since it is larger than the sum of its proper divisors (15555248598159).

33442341323121 is a wasteful number, since it uses less digits than its factorization.

33442341323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148286 (or 148283 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 33442341323121 its reverse (12132314324433), we get a palindrome (45574655647554).

The spelling of 33442341323121 in words is "thirty-three trillion, four hundred forty-two billion, three hundred forty-one million, three hundred twenty-three thousand, one hundred twenty-one".