21020201100013 has 2 divisors, whose sum is σ = 21020201100014. Its totient is φ = 21020201100012.

The previous prime is 21020201099969. The next prime is 21020201100109. The reversal of 21020201100013 is 31000110202012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12668488355524 + 8351712744489 = 3559282^2 + 2889933^2 .

It is a cyclic number.

It is not a de Polignac number, because 21020201100013 - 2¹³ = 21020201091821 is a prime.

It is a super-3 number, since 3×21020201100013³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21020201099966 and 21020201100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21020201100313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10510100550006 + 10510100550007.

It is an arithmetic number, because the mean of its divisors is an integer number (10510100550007).

Almost surely, 2^{21020201100013} is an apocalyptic number.

It is an amenable number.

21020201100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21020201100013 is an equidigital number, since it uses as much as digits as its factorization.

21020201100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21020201100013 its reverse (31000110202012), we get a palindrome (52020311302025).

The spelling of 21020201100013 in words is "twenty-one trillion, twenty billion, two hundred one million, one hundred thousand, thirteen".