3233003310121 has 48 divisors (see below), whose sum is σ = 3590668252080. Its totient is φ = 2893279150080.

The previous prime is 3233003310101. The next prime is 3233003310167. The reversal of 3233003310121 is 1210133003323.

It can be written as a sum of positive squares in 24 ways, for example, as 3217574937600 + 15428372521 = 1793760^2 + 124211^2 .

It is not a de Polignac number, because 3233003310121 - 2³⁷ = 3095564356649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3233003310092 and 3233003310101.

It is not an unprimeable number, because it can be changed into a prime (3233003310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115981745 + ... + 1115984641.

It is an arithmetic number, because the mean of its divisors is an integer number (74805588585).

Almost surely, 2^{3233003310121} is an apocalyptic number.

It is an amenable number.

3233003310121 is a deficient number, since it is larger than the sum of its proper divisors (357664941959).

3233003310121 is a wasteful number, since it uses less digits than its factorization.

3233003310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 3233003310121 its reverse (1210133003323), we get a palindrome (4443136313444).

The spelling of 3233003310121 in words is "three trillion, two hundred thirty-three billion, three million, three hundred ten thousand, one hundred twenty-one".