10213300123049 has 2 divisors, whose sum is σ = 10213300123050. Its totient is φ = 10213300123048.

The previous prime is 10213300122979. The next prime is 10213300123051. The reversal of 10213300123049 is 94032100331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6163675155625 + 4049624967424 = 2482675^2 + 2012368^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213300123049 - 2³⁶ = 10144580646313 is a prime.

It is a super-2 number, since 2×10213300123049² (a number of 27 digits) contains 22 as substring.

Together with 10213300123051, 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 (10213300123069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106650061524 + 5106650061525.

It is an arithmetic number, because the mean of its divisors is an integer number (5106650061525).

Almost surely, 2^{10213300123049} is an apocalyptic number.

It is an amenable number.

10213300123049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213300123049 is an equidigital number, since it uses as much as digits as its factorization.

10213300123049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 10213300123049 in words is "ten trillion, two hundred thirteen billion, three hundred million, one hundred twenty-three thousand, forty-nine".