3001121211331 has 8 divisors (see below), whose sum is σ = 3231516360240. Its totient is φ = 2776710352128.

The previous prime is 3001121211329. The next prime is 3001121211359. The reversal of 3001121211331 is 1331121211003.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3001121211331 - 2¹ = 3001121211329 is a prime.

It is a super-2 number, since 2×3001121211331² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3001121211299 and 3001121211308.

It is not an unprimeable number, because it can be changed into a prime (3001121214331) 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 7 ways as a sum of consecutive naturals, for example, 1496071386 + ... + 1496073391.

It is an arithmetic number, because the mean of its divisors is an integer number (403939545030).

Almost surely, 2^{3001121211331} is an apocalyptic number.

3001121211331 is a deficient number, since it is larger than the sum of its proper divisors (230395148909).

3001121211331 is a wasteful number, since it uses less digits than its factorization.

3001121211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992144853.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 3001121211331 its reverse (1331121211003), we get a palindrome (4332242422334).

The spelling of 3001121211331 in words is "three trillion, one billion, one hundred twenty-one million, two hundred eleven thousand, three hundred thirty-one".