212105056313 has 2 divisors, whose sum is σ = 212105056314. Its totient is φ = 212105056312.

The previous prime is 212105056249. The next prime is 212105056351. The reversal of 212105056313 is 313650501212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208033595449 + 4071460864 = 456107^2 + 63808^2 .

It is a cyclic number.

It is not a de Polignac number, because 212105056313 - 2⁶ = 212105056249 is a prime.

It is not a weakly prime, because it can be changed into another prime (212105056393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106052528156 + 106052528157.

It is an arithmetic number, because the mean of its divisors is an integer number (106052528157).

Almost surely, 2^212105056313 is an apocalyptic number.

It is an amenable number.

212105056313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212105056313 is an equidigital number, since it uses as much as digits as its factorization.

212105056313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 212105056313 its reverse (313650501212), we get a palindrome (525755557525).

The spelling of 212105056313 in words is "two hundred twelve billion, one hundred five million, fifty-six thousand, three hundred thirteen".