213314101 has 32 divisors (see below), whose sum is σ = 292320000. Its totient is φ = 153397440.

The previous prime is 213314071. The next prime is 213314119. The reversal of 213314101 is 101413312.

It is not a de Polignac number, because 213314101 - 2¹⁷ = 213183029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213314191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46875 + ... + 51223.

It is an arithmetic number, because the mean of its divisors is an integer number (9135000).

Almost surely, 2^213314101 is an apocalyptic number.

It is an amenable number.

213314101 is a deficient number, since it is larger than the sum of its proper divisors (79005899).

213314101 is a wasteful number, since it uses less digits than its factorization.

213314101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4380 counting only the distinct ones).

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

The square root of 213314101 is about 14605.2764780404. The cubic root of 213314101 is about 597.5026765285.

Adding to 213314101 its reverse (101413312), we get a palindrome (314727413).

The spelling of 213314101 in words is "two hundred thirteen million, three hundred fourteen thousand, one hundred one".