3122133102311 has 16 divisors (see below), whose sum is σ = 3186339963840. Its totient is φ = 3058511788800.

The previous prime is 3122133102287. The next prime is 3122133102323. The reversal of 3122133102311 is 1132013312213.

3122133102311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3122133102311 - 2¹⁴ = 3122133085927 is a prime.

It is a super-2 number, since 2×3122133102311² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122133102371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91132061 + ... + 91166313.

It is an arithmetic number, because the mean of its divisors is an integer number (199146247740).

Almost surely, 2^{3122133102311} is an apocalyptic number.

3122133102311 is a deficient number, since it is larger than the sum of its proper divisors (64206861529).

3122133102311 is a wasteful number, since it uses less digits than its factorization.

3122133102311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42746.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3122133102311 its reverse (1132013312213), we get a palindrome (4254146414524).

The spelling of 3122133102311 in words is "three trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred two thousand, three hundred eleven".