100613 has 2 divisors, whose sum is σ = 100614. Its totient is φ = 100612.

The previous prime is 100609. The next prime is 100621. The reversal of 100613 is 316001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91204 + 9409 = 302^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 100613 - 2² = 100609 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100594 and 100603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50306 + 50307.

It is an arithmetic number, because the mean of its divisors is an integer number (50307).

2¹⁰⁰⁶¹³ is an apocalyptic number.

It is an amenable number.

100613 is a deficient number, since it is larger than the sum of its proper divisors (1).

100613 is an equidigital number, since it uses as much as digits as its factorization.

100613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100613 is about 317.1955232975. The cubic root of 100613 is about 46.5105383291.

Adding to 100613 its reverse (316001), we get a palindrome (416614).

The spelling of 100613 in words is "one hundred thousand, six hundred thirteen".