312132011322311 has 2 divisors, whose sum is σ = 312132011322312. Its totient is φ = 312132011322310.

The previous prime is 312132011322203. The next prime is 312132011322319. The reversal of 312132011322311 is 113223110231213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312132011322311 is a prime.

It is a super-3 number, since 3×312132011322311³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132011322319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066005661155 + 156066005661156.

It is an arithmetic number, because the mean of its divisors is an integer number (156066005661156).

Almost surely, 2^{312132011322311} is an apocalyptic number.

312132011322311 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132011322311 is an equidigital number, since it uses as much as digits as its factorization.

312132011322311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 312132011322311 its reverse (113223110231213), we get a palindrome (425355121553524).

The spelling of 312132011322311 in words is "three hundred twelve trillion, one hundred thirty-two billion, eleven million, three hundred twenty-two thousand, three hundred eleven".