10213000113257 has 2 divisors, whose sum is σ = 10213000113258. Its totient is φ = 10213000113256.

The previous prime is 10213000113137. The next prime is 10213000113259. The reversal of 10213000113257 is 75231100031201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9149995810816 + 1063004302441 = 3024896^2 + 1031021^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213000113257 - 2¹⁸ = 10212999851113 is a prime.

Together with 10213000113259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10213000113259) 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, 5106500056628 + 5106500056629.

It is an arithmetic number, because the mean of its divisors is an integer number (5106500056629).

Almost surely, 2^{10213000113257} is an apocalyptic number.

It is an amenable number.

10213000113257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213000113257 is an equidigital number, since it uses as much as digits as its factorization.

10213000113257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

Adding to 10213000113257 its reverse (75231100031201), we get a palindrome (85444100144458).

The spelling of 10213000113257 in words is "ten trillion, two hundred thirteen billion, one hundred thirteen thousand, two hundred fifty-seven".