212002128313 has 2 divisors, whose sum is σ = 212002128314. Its totient is φ = 212002128312.

The previous prime is 212002128311. The next prime is 212002128329. The reversal of 212002128313 is 313821200212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196698459049 + 15303669264 = 443507^2 + 123708^2 .

It is a cyclic number.

It is not a de Polignac number, because 212002128313 - 2¹ = 212002128311 is a prime.

Together with 212002128311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212002128311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106001064156 + 106001064157.

It is an arithmetic number, because the mean of its divisors is an integer number (106001064157).

Almost surely, 2^212002128313 is an apocalyptic number.

It is an amenable number.

212002128313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002128313 is an equidigital number, since it uses as much as digits as its factorization.

212002128313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 212002128313 its reverse (313821200212), we get a palindrome (525823328525).

The spelling of 212002128313 in words is "two hundred twelve billion, two million, one hundred twenty-eight thousand, three hundred thirteen".