312201440133313 has 2 divisors, whose sum is σ = 312201440133314. Its totient is φ = 312201440133312.

The previous prime is 312201440133311. The next prime is 312201440133337. The reversal of 312201440133313 is 313331044102213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311251737259584 + 949702873729 = 17642328^2 + 974527^2 .

It is a cyclic number.

It is not a de Polignac number, because 312201440133313 - 2¹ = 312201440133311 is a prime.

Together with 312201440133311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312201440133311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156100720066656 + 156100720066657.

It is an arithmetic number, because the mean of its divisors is an integer number (156100720066657).

Almost surely, 2^{312201440133313} is an apocalyptic number.

It is an amenable number.

312201440133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312201440133313 is an equidigital number, since it uses as much as digits as its factorization.

312201440133313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 312201440133313 its reverse (313331044102213), we get a palindrome (625532484235526).

The spelling of 312201440133313 in words is "three hundred twelve trillion, two hundred one billion, four hundred forty million, one hundred thirty-three thousand, three hundred thirteen".