312212432101313 has 2 divisors, whose sum is σ = 312212432101314. Its totient is φ = 312212432101312.

The previous prime is 312212432101309. The next prime is 312212432101331. The reversal of 312212432101313 is 313101234212213.

Together with next prime (312212432101331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163775929465009 + 148436502636304 = 12797497^2 + 12183452^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212432101313 - 2² = 312212432101309 is a prime.

It is not a weakly prime, because it can be changed into another prime (312212432101373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106216050656 + 156106216050657.

It is an arithmetic number, because the mean of its divisors is an integer number (156106216050657).

Almost surely, 2^{312212432101313} is an apocalyptic number.

It is an amenable number.

312212432101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212432101313 is an equidigital number, since it uses as much as digits as its factorization.

312212432101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 312212432101313 its reverse (313101234212213), we get a palindrome (625313666313526).

The spelling of 312212432101313 in words is "three hundred twelve trillion, two hundred twelve billion, four hundred thirty-two million, one hundred one thousand, three hundred thirteen".