3301001311131 has 12 divisors (see below), whose sum is σ = 4768435084608. Its totient is φ = 2200518888624.

The previous prime is 3301001311067. The next prime is 3301001311133. The reversal of 3301001311131 is 1311131001033.

3301001311131 is a `hidden beast` number, since 330 + 10 + 0 + 1 + 311 + 13 + 1 = 666.

It is not a de Polignac number, because 3301001311131 - 2⁶ = 3301001311067 is a prime.

It is a super-2 number, since 2×3301001311131² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3301001311133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12246955 + ... + 12513588.

It is an arithmetic number, because the mean of its divisors is an integer number (397369590384).

Almost surely, 2^{3301001311131} is an apocalyptic number.

3301001311131 is a deficient number, since it is larger than the sum of its proper divisors (1467433773477).

3301001311131 is a wasteful number, since it uses less digits than its factorization.

3301001311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24775362 (or 24775359 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 3301001311131 its reverse (1311131001033), we get a palindrome (4612132312164).

The spelling of 3301001311131 in words is "three trillion, three hundred one billion, one million, three hundred eleven thousand, one hundred thirty-one".