313312121120213 has 2 divisors, whose sum is σ = 313312121120214. Its totient is φ = 313312121120212.

The previous prime is 313312121120197. The next prime is 313312121120287. The reversal of 313312121120213 is 312021121213313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295161436749169 + 18150684371044 = 17180263^2 + 4260362^2 .

It is an emirp because it is prime and its reverse (312021121213313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313312121120213 - 2⁴ = 313312121120197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312121180213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656060560106 + 156656060560107.

It is an arithmetic number, because the mean of its divisors is an integer number (156656060560107).

Almost surely, 2^{313312121120213} is an apocalyptic number.

It is an amenable number.

313312121120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312121120213 is an equidigital number, since it uses as much as digits as its factorization.

313312121120213 is an evil number, because the sum of its binary digits is even.

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

Adding to 313312121120213 its reverse (312021121213313), we get a palindrome (625333242333526).

The spelling of 313312121120213 in words is "three hundred thirteen trillion, three hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, two hundred thirteen".