212123131013 has 2 divisors, whose sum is σ = 212123131014. Its totient is φ = 212123131012.

The previous prime is 212123131001. The next prime is 212123131037. The reversal of 212123131013 is 310131321212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164084135329 + 48038995684 = 405073^2 + 219178^2 .

It is a cyclic number.

It is not a de Polignac number, because 212123131013 - 2¹⁰ = 212123129989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212123131313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061565506 + 106061565507.

It is an arithmetic number, because the mean of its divisors is an integer number (106061565507).

Almost surely, 2^212123131013 is an apocalyptic number.

It is an amenable number.

212123131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212123131013 is an equidigital number, since it uses as much as digits as its factorization.

212123131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212123131013 its reverse (310131321212), we get a palindrome (522254452225).

The spelling of 212123131013 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, thirteen".