101312202113 has 2 divisors, whose sum is σ = 101312202114. Its totient is φ = 101312202112.

The previous prime is 101312202107. The next prime is 101312202133. The reversal of 101312202113 is 311202213101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82884682609 + 18427519504 = 287897^2 + 135748^2 .

It is a cyclic number.

It is not a de Polignac number, because 101312202113 - 2⁸ = 101312201857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101312202091 and 101312202100.

It is not a weakly prime, because it can be changed into another prime (101312202133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656101056 + 50656101057.

It is an arithmetic number, because the mean of its divisors is an integer number (50656101057).

Almost surely, 2^101312202113 is an apocalyptic number.

It is an amenable number.

101312202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312202113 is an equidigital number, since it uses as much as digits as its factorization.

101312202113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101312202113 its reverse (311202213101), we get a palindrome (412514415214).

The spelling of 101312202113 in words is "one hundred one billion, three hundred twelve million, two hundred two thousand, one hundred thirteen".