103100113 has 2 divisors, whose sum is σ = 103100114. Its totient is φ = 103100112.

The previous prime is 103100089. The next prime is 103100131. The reversal of 103100113 is 311001301.

Together with next prime (103100131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56205009 + 46895104 = 7497^2 + 6848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103100113 is a prime.

It is a super-2 number, since 2×103100113² = 21259266601225538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103100113.

It is not a weakly prime, because it can be changed into another prime (103107113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51550056 + 51550057.

It is an arithmetic number, because the mean of its divisors is an integer number (51550057).

Almost surely, 2^103100113 is an apocalyptic number.

It is an amenable number.

103100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

103100113 is an equidigital number, since it uses as much as digits as its factorization.

103100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 103100113 is about 10153.8225806836. The cubic root of 103100113 is about 468.9066375958.

Adding to 103100113 its reverse (311001301), we get a palindrome (414101414).

The spelling of 103100113 in words is "one hundred three million, one hundred thousand, one hundred thirteen".