213112117 has 2 divisors, whose sum is σ = 213112118. Its totient is φ = 213112116.

The previous prime is 213112103. The next prime is 213112127. The reversal of 213112117 is 711211312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196392196 + 16719921 = 14014^2 + 4089^2 .

It is a cyclic number.

It is not a de Polignac number, because 213112117 - 2⁷ = 213111989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213112094 and 213112103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213112127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556058 + 106556059.

It is an arithmetic number, because the mean of its divisors is an integer number (106556059).

Almost surely, 2^213112117 is an apocalyptic number.

It is an amenable number.

213112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

213112117 is an equidigital number, since it uses as much as digits as its factorization.

213112117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 19.

The square root of 213112117 is about 14598.3600791322. The cubic root of 213112117 is about 597.3140281268.

Adding to 213112117 its reverse (711211312), we get a palindrome (924323429).

The spelling of 213112117 in words is "two hundred thirteen million, one hundred twelve thousand, one hundred seventeen".