213002202113 has 2 divisors, whose sum is σ = 213002202114. Its totient is φ = 213002202112.

The previous prime is 213002202103. The next prime is 213002202137. The reversal of 213002202113 is 311202200312.

213002202113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116276226049 + 96725976064 = 340993^2 + 311008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213002202113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213002202091 and 213002202100.

It is not a weakly prime, because it can be changed into another prime (213002202103) 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, 106501101056 + 106501101057.

It is an arithmetic number, because the mean of its divisors is an integer number (106501101057).

Almost surely, 2^213002202113 is an apocalyptic number.

It is an amenable number.

213002202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213002202113 is an equidigital number, since it uses as much as digits as its factorization.

213002202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 213002202113 its reverse (311202200312), we get a palindrome (524204402425).

The spelling of 213002202113 in words is "two hundred thirteen billion, two million, two hundred two thousand, one hundred thirteen".