1102112113 has 2 divisors, whose sum is σ = 1102112114. Its totient is φ = 1102112112.

The previous prime is 1102112111. The next prime is 1102112117. The reversal of 1102112113 is 3112112011.

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., 553990369 + 548121744 = 23537^2 + 23412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102112113 - 2¹ = 1102112111 is a prime.

It is a super-2 number, since 2×1102112113² = 2429302219242649538, which contains 22 as substring.

Together with 1102112111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1102112093 and 1102112102.

It is not a weakly prime, because it can be changed into another prime (1102112111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551056056 + 551056057.

It is an arithmetic number, because the mean of its divisors is an integer number (551056057).

Almost surely, 2^1102112113 is an apocalyptic number.

It is an amenable number.

1102112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102112113 is an equidigital number, since it uses as much as digits as its factorization.

1102112113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1102112113 is about 33198.0739350945. The cubic root of 1102112113 is about 1032.9403876614.

Adding to 1102112113 its reverse (3112112011), we get a palindrome (4214224124).

The spelling of 1102112113 in words is "one billion, one hundred two million, one hundred twelve thousand, one hundred thirteen".