101300513 has 2 divisors, whose sum is σ = 101300514. Its totient is φ = 101300512.

The previous prime is 101300497. The next prime is 101300527. The reversal of 101300513 is 315003101.

It is an a-pointer prime, because the next prime (101300527) can be obtained adding 101300513 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66455104 + 34845409 = 8152^2 + 5903^2 .

It is a cyclic number.

It is not a de Polignac number, because 101300513 - 2⁴ = 101300497 is a prime.

It is not a weakly prime, because it can be changed into another prime (101300593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50650256 + 50650257.

It is an arithmetic number, because the mean of its divisors is an integer number (50650257).

Almost surely, 2^101300513 is an apocalyptic number.

It is an amenable number.

101300513 is a deficient number, since it is larger than the sum of its proper divisors (1).

101300513 is an equidigital number, since it uses as much as digits as its factorization.

101300513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 101300513 is about 10064.8155969198. The cubic root of 101300513 is about 466.1623719629.

Adding to 101300513 its reverse (315003101), we get a palindrome (416303614).

The spelling of 101300513 in words is "one hundred one million, three hundred thousand, five hundred thirteen".