10203220952513 has 2 divisors, whose sum is σ = 10203220952514. Its totient is φ = 10203220952512.

The previous prime is 10203220952437. The next prime is 10203220952531. The reversal of 10203220952513 is 31525902230201.

It is a happy number.

10203220952513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10203220952531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9458472664369 + 744748288144 = 3075463^2 + 862988^2 .

It is a cyclic number.

It is not a de Polignac number, because 10203220952513 - 2²⁰ = 10203219903937 is a prime.

It is not a weakly prime, because it can be changed into another prime (10203220955513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101610476256 + 5101610476257.

It is an arithmetic number, because the mean of its divisors is an integer number (5101610476257).

Almost surely, 2^{10203220952513} is an apocalyptic number.

It is an amenable number.

10203220952513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10203220952513 is an equidigital number, since it uses as much as digits as its factorization.

10203220952513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 10203220952513 in words is "ten trillion, two hundred three billion, two hundred twenty million, nine hundred fifty-two thousand, five hundred thirteen".