212312002010513 has 2 divisors, whose sum is σ = 212312002010514. Its totient is φ = 212312002010512.

The previous prime is 212312002010483. The next prime is 212312002010531. The reversal of 212312002010513 is 315010200213212.

Together with next prime (212312002010531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197087428121089 + 15224573889424 = 14038783^2 + 3901868^2 .

It is a cyclic number.

It is not a de Polignac number, because 212312002010513 - 2¹⁸ = 212312001748369 is a prime.

It is not a weakly prime, because it can be changed into another prime (212312002010813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156001005256 + 106156001005257.

It is an arithmetic number, because the mean of its divisors is an integer number (106156001005257).

Almost surely, 2^{212312002010513} is an apocalyptic number.

It is an amenable number.

212312002010513 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312002010513 is an equidigital number, since it uses as much as digits as its factorization.

212312002010513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 212312002010513 its reverse (315010200213212), we get a palindrome (527322202223725).

The spelling of 212312002010513 in words is "two hundred twelve trillion, three hundred twelve billion, two million, ten thousand, five hundred thirteen".