10100202713 has 2 divisors, whose sum is σ = 10100202714. Its totient is φ = 10100202712.

The previous prime is 10100202703. The next prime is 10100202719. The reversal of 10100202713 is 31720200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9106503184 + 993699529 = 95428^2 + 31523^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100202713 - 2²⁰ = 10099154137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100202691 and 10100202700.

It is not a weakly prime, because it can be changed into another prime (10100202719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050101356 + 5050101357.

It is an arithmetic number, because the mean of its divisors is an integer number (5050101357).

Almost surely, 2^10100202713 is an apocalyptic number.

It is an amenable number.

10100202713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100202713 is an equidigital number, since it uses as much as digits as its factorization.

10100202713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 10100202713 its reverse (31720200101), we get a palindrome (41820402814).

The spelling of 10100202713 in words is "ten billion, one hundred million, two hundred two thousand, seven hundred thirteen".