3112211322131 has 16 divisors (see below), whose sum is σ = 3366408781440. Its totient is φ = 2865954324480.

The previous prime is 3112211322107. The next prime is 3112211322163. The reversal of 3112211322131 is 1312231122113.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3112211322131 - 2⁶ = 3112211322067 is a prime.

It is a super-3 number, since 3×3112211322131³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3112211322097 and 3112211322106.

It is not an unprimeable number, because it can be changed into a prime (3112211372131) 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 15 ways as a sum of consecutive naturals, for example, 2074841 + ... + 3244901.

It is an arithmetic number, because the mean of its divisors is an integer number (210400548840).

Almost surely, 2^{3112211322131} is an apocalyptic number.

3112211322131 is a deficient number, since it is larger than the sum of its proper divisors (254197459309).

3112211322131 is a wasteful number, since it uses less digits than its factorization.

3112211322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173454.

The product of its digits is 432, while the sum is 23.

Adding to 3112211322131 its reverse (1312231122113), we get a palindrome (4424442444244).

The spelling of 3112211322131 in words is "three trillion, one hundred twelve billion, two hundred eleven million, three hundred twenty-two thousand, one hundred thirty-one".