10210131110213 has 2 divisors, whose sum is σ = 10210131110214. Its totient is φ = 10210131110212.

The previous prime is 10210131110197. The next prime is 10210131110261. The reversal of 10210131110213 is 31201113101201.

10210131110213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9729302587489 + 480828522724 = 3119183^2 + 693418^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210131110213 - 2⁴ = 10210131110197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10210131110191 and 10210131110200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10210131110273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105065555106 + 5105065555107.

It is an arithmetic number, because the mean of its divisors is an integer number (5105065555107).

Almost surely, 2^{10210131110213} is an apocalyptic number.

It is an amenable number.

10210131110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210131110213 is an equidigital number, since it uses as much as digits as its factorization.

10210131110213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10210131110213 its reverse (31201113101201), we get a palindrome (41411244211414).

The spelling of 10210131110213 in words is "ten trillion, two hundred ten billion, one hundred thirty-one million, one hundred ten thousand, two hundred thirteen".