213404101 has 2 divisors, whose sum is σ = 213404102. Its totient is φ = 213404100.

The previous prime is 213404089. The next prime is 213404131. The reversal of 213404101 is 101404312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205951201 + 7452900 = 14351^2 + 2730^2 .

It is a cyclic number.

It is not a de Polignac number, because 213404101 - 2²⁵ = 179849669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213404131) 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, 106702050 + 106702051.

It is an arithmetic number, because the mean of its divisors is an integer number (106702051).

Almost surely, 2^213404101 is an apocalyptic number.

It is an amenable number.

213404101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213404101 is an equidigital number, since it uses as much as digits as its factorization.

213404101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213404101 is about 14608.3572313933. The cubic root of 213404101 is about 597.5866961027.

Adding to 213404101 its reverse (101404312), we get a palindrome (314808413).

The spelling of 213404101 in words is "two hundred thirteen million, four hundred four thousand, one hundred one".