3001022221131 has 80 divisors (see below), whose sum is σ = 4986464440320. Its totient is φ = 1783293900480.

The previous prime is 3001022221121. The next prime is 3001022221133. The reversal of 3001022221131 is 1311222201003.

3001022221131 is a `hidden beast` number, since 300 + 10 + 2 + 2 + 221 + 131 = 666.

It is not a de Polignac number, because 3001022221131 - 2⁷ = 3001022221003 is a prime.

It is a super-2 number, since 2×3001022221131² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3001022221133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20059401 + ... + 20208453.

It is an arithmetic number, because the mean of its divisors is an integer number (62330805504).

Almost surely, 2^{3001022221131} is an apocalyptic number.

3001022221131 is a deficient number, since it is larger than the sum of its proper divisors (1985442219189).

3001022221131 is a wasteful number, since it uses less digits than its factorization.

3001022221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149518 (or 149509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3001022221131 its reverse (1311222201003), we get a palindrome (4312244422134).

The spelling of 3001022221131 in words is "three trillion, one billion, twenty-two million, two hundred twenty-one thousand, one hundred thirty-one".