213836101 has 2 divisors, whose sum is σ = 213836102. Its totient is φ = 213836100.

The previous prime is 213836059. The next prime is 213836113. The reversal of 213836101 is 101638312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208773601 + 5062500 = 14449^2 + 2250^2 .

It is a cyclic number.

It is not a de Polignac number, because 213836101 - 2²⁷ = 79618373 is a prime.

It is a super-3 number, since 3×213836101³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213836141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106918050 + 106918051.

It is an arithmetic number, because the mean of its divisors is an integer number (106918051).

Almost surely, 2^213836101 is an apocalyptic number.

It is an amenable number.

213836101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213836101 is an equidigital number, since it uses as much as digits as its factorization.

213836101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 213836101 is about 14623.1358128139. The cubic root of 213836101 is about 597.9896615700.

The spelling of 213836101 in words is "two hundred thirteen million, eight hundred thirty-six thousand, one hundred one".