214101313 has 2 divisors, whose sum is σ = 214101314. Its totient is φ = 214101312.

The previous prime is 214101263. The next prime is 214101317. The reversal of 214101313 is 313101412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123032464 + 91068849 = 11092^2 + 9543^2 .

It is a cyclic number.

It is not a de Polignac number, because 214101313 - 2¹⁷ = 213970241 is a prime.

It is not a weakly prime, because it can be changed into another prime (214101317) 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, 107050656 + 107050657.

It is an arithmetic number, because the mean of its divisors is an integer number (107050657).

Almost surely, 2^214101313 is an apocalyptic number.

It is an amenable number.

214101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

214101313 is an equidigital number, since it uses as much as digits as its factorization.

214101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 214101313 is about 14632.2012356310. The cubic root of 214101313 is about 598.2367799825.

Adding to 214101313 its reverse (313101412), we get a palindrome (527202725).

Subtracting 214101313 from its reverse (313101412), we obtain a palindrome (99000099).

The spelling of 214101313 in words is "two hundred fourteen million, one hundred one thousand, three hundred thirteen".