210113 has 2 divisors, whose sum is σ = 210114. Its totient is φ = 210112.

The previous prime is 210109. The next prime is 210127. The reversal of 210113 is 311012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 9409 = 448^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 210113 - 2² = 210109 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210113.

It is not a weakly prime, because it can be changed into another prime (210143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105056 + 105057.

It is an arithmetic number, because the mean of its divisors is an integer number (105057).

2²¹⁰¹¹³ is an apocalyptic number.

It is an amenable number.

210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210113 is an equidigital number, since it uses as much as digits as its factorization.

210113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 210113 is about 458.3808460222. The cubic root of 210113 is about 59.4498789363.

Adding to 210113 its reverse (311012), we get a palindrome (521125).

It can be divided in two parts, 210 and 113, that added together give a palindrome (323).

The spelling of 210113 in words is "two hundred ten thousand, one hundred thirteen".