312211314411131 has 8 divisors (see below), whose sum is σ = 331307511240960. Its totient is φ = 293575266902632.

The previous prime is 312211314411119. The next prime is 312211314411163. The reversal of 312211314411131 is 131114413112213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312211314411131 is a prime.

It is a super-2 number, since 2×312211314411131² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312211314411094 and 312211314411103.

It is not an unprimeable number, because it can be changed into a prime (312211314411331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115037328935 + ... + 115037331648.

It is an arithmetic number, because the mean of its divisors is an integer number (41413438905120).

Almost surely, 2^{312211314411131} is an apocalyptic number.

312211314411131 is a deficient number, since it is larger than the sum of its proper divisors (19096196829829).

312211314411131 is a wasteful number, since it uses less digits than its factorization.

312211314411131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230074660665.

The product of its digits is 1728, while the sum is 29.

Adding to 312211314411131 its reverse (131114413112213), we get a palindrome (443325727523344).

The spelling of 312211314411131 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred fourteen million, four hundred eleven thousand, one hundred thirty-one".