10203644313553 has 2 divisors, whose sum is σ = 10203644313554. Its totient is φ = 10203644313552.

The previous prime is 10203644313497. The next prime is 10203644313559. The reversal of 10203644313553 is 35531344630201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9527790970944 + 675853342609 = 3086712^2 + 822103^2 .

It is a cyclic number.

It is not a de Polignac number, because 10203644313553 - 2⁹ = 10203644313041 is a prime.

It is a super-2 number, since 2×10203644313553² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10203644313559) 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, 5101822156776 + 5101822156777.

It is an arithmetic number, because the mean of its divisors is an integer number (5101822156777).

Almost surely, 2^{10203644313553} is an apocalyptic number.

It is an amenable number.

10203644313553 is a deficient number, since it is larger than the sum of its proper divisors (1).

10203644313553 is an equidigital number, since it uses as much as digits as its factorization.

10203644313553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 40.

Adding to 10203644313553 its reverse (35531344630201), we get a palindrome (45734988943754).

The spelling of 10203644313553 in words is "ten trillion, two hundred three billion, six hundred forty-four million, three hundred thirteen thousand, five hundred fifty-three".