102213632113 has 2 divisors, whose sum is σ = 102213632114. Its totient is φ = 102213632112.

The previous prime is 102213632111. The next prime is 102213632173. The reversal of 102213632113 is 311236312201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64154304369 + 38059327744 = 253287^2 + 195088^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213632113 - 2¹ = 102213632111 is a prime.

Together with 102213632111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102213632111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106816056 + 51106816057.

It is an arithmetic number, because the mean of its divisors is an integer number (51106816057).

Almost surely, 2^102213632113 is an apocalyptic number.

It is an amenable number.

102213632113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213632113 is an equidigital number, since it uses as much as digits as its factorization.

102213632113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102213632113 its reverse (311236312201), we get a palindrome (413449944314).

The spelling of 102213632113 in words is "one hundred two billion, two hundred thirteen million, six hundred thirty-two thousand, one hundred thirteen".