213400101 has 8 divisors (see below), whose sum is σ = 289902240. Its totient is φ = 139582352.

The previous prime is 213400087. The next prime is 213400139. The reversal of 213400101 is 101004312.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213400101 - 2¹⁴ = 213383717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213400151) 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 in 7 ways as a sum of consecutive naturals, for example, 670911 + ... + 671228.

It is an arithmetic number, because the mean of its divisors is an integer number (36237780).

Almost surely, 2^213400101 is an apocalyptic number.

It is an amenable number.

213400101 is a deficient number, since it is larger than the sum of its proper divisors (76502139).

213400101 is a wasteful number, since it uses less digits than its factorization.

213400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342195.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213400101 is about 14608.2203228182. The cubic root of 213400101 is about 597.5829624011.

Adding to 213400101 its reverse (101004312), we get a palindrome (314404413).

The spelling of 213400101 in words is "two hundred thirteen million, four hundred thousand, one hundred one".