3001002133221 has 12 divisors (see below), whose sum is σ = 4440507222060. Its totient is φ = 1951871305920.

The previous prime is 3001002133219. The next prime is 3001002133229. The reversal of 3001002133221 is 1223312001003.

3001002133221 is a `hidden beast` number, since 30 + 0 + 100 + 213 + 322 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1120020056100 + 1880982077121 = 1058310^2 + 1371489^2 .

It is not a de Polignac number, because 3001002133221 - 2¹ = 3001002133219 is a prime.

It is a super-3 number, since 3×3001002133221³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3001002133194 and 3001002133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001002133229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4066398186 + ... + 4066398923.

It is an arithmetic number, because the mean of its divisors is an integer number (370042268505).

Almost surely, 2^{3001002133221} is an apocalyptic number.

It is an amenable number.

3001002133221 is a deficient number, since it is larger than the sum of its proper divisors (1439505088839).

3001002133221 is a wasteful number, since it uses less digits than its factorization.

3001002133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132797156 (or 8132797153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3001002133221 its reverse (1223312001003), we get a palindrome (4224314134224).

The spelling of 3001002133221 in words is "three trillion, one billion, two million, one hundred thirty-three thousand, two hundred twenty-one".