3220001311131 has 192 divisors, whose sum is σ = 5364855175680. Its totient is φ = 1843720704000.

The previous prime is 3220001311129. The next prime is 3220001311139. The reversal of 3220001311131 is 1311131000223.

3220001311131 is a `hidden beast` number, since 3 + 220 + 0 + 0 + 1 + 311 + 131 = 666.

It is not a de Polignac number, because 3220001311131 - 2¹ = 3220001311129 is a prime.

It is a super-2 number, since 2×3220001311131² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3220001311139) 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 191 ways as a sum of consecutive naturals, for example, 10989765421 + ... + 10989765713.

It is an arithmetic number, because the mean of its divisors is an integer number (27941954040).

Almost surely, 2^{3220001311131} is an apocalyptic number.

3220001311131 is a deficient number, since it is larger than the sum of its proper divisors (2144853864549).

3220001311131 is a wasteful number, since it uses less digits than its factorization.

3220001311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3220001311131 its reverse (1311131000223), we get a palindrome (4531132311354).

The spelling of 3220001311131 in words is "three trillion, two hundred twenty billion, one million, three hundred eleven thousand, one hundred thirty-one".