3122131003101 has 48 divisors (see below), whose sum is σ = 5042069690112. Its totient is φ = 1845186777600.

The previous prime is 3122131003063. The next prime is 3122131003157. The reversal of 3122131003101 is 1013001312213.

3122131003101 is a `hidden beast` number, since 31 + 221 + 3 + 100 + 310 + 1 = 666.

It is not a de Polignac number, because 3122131003101 - 2¹⁰ = 3122131002077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122131003501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8560396 + ... + 8917658.

It is an arithmetic number, because the mean of its divisors is an integer number (105043118544).

Almost surely, 2^{3122131003101} is an apocalyptic number.

It is an amenable number.

3122131003101 is a deficient number, since it is larger than the sum of its proper divisors (1919938687011).

3122131003101 is a wasteful number, since it uses less digits than its factorization.

3122131003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359474 (or 359471 counting only the distinct ones).

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

Adding to 3122131003101 its reverse (1013001312213), we get a palindrome (4135132315314).

The spelling of 3122131003101 in words is "three trillion, one hundred twenty-two billion, one hundred thirty-one million, three thousand, one hundred one".