10212313131289 has 2 divisors, whose sum is σ = 10212313131290. Its totient is φ = 10212313131288.

The previous prime is 10212313131277. The next prime is 10212313131341. The reversal of 10212313131289 is 98213131321201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8830454105664 + 1381859025625 = 2971608^2 + 1175525^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212313131289 - 2²⁷ = 10212178913561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10212313131389) 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, 5106156565644 + 5106156565645.

It is an arithmetic number, because the mean of its divisors is an integer number (5106156565645).

Almost surely, 2^{10212313131289} is an apocalyptic number.

It is an amenable number.

10212313131289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212313131289 is an equidigital number, since it uses as much as digits as its factorization.

10212313131289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 10212313131289 in words is "ten trillion, two hundred twelve billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred eighty-nine".