213120201 has 32 divisors (see below), whose sum is σ = 331948800. Its totient is φ = 119116800.

The previous prime is 213120197. The next prime is 213120239. The reversal of 213120201 is 102021312.

It is not a de Polignac number, because 213120201 - 2² = 213120197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213120241) 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, 188205 + ... + 189333.

It is an arithmetic number, because the mean of its divisors is an integer number (10373400).

Almost surely, 2^213120201 is an apocalyptic number.

213120201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213120201 is a deficient number, since it is larger than the sum of its proper divisors (118828599).

213120201 is a wasteful number, since it uses less digits than its factorization.

213120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329.

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

The square root of 213120201 is about 14598.6369569217. The cubic root of 213120201 is about 597.3215806859.

Adding to 213120201 its reverse (102021312), we get a palindrome (315141513).

The spelling of 213120201 in words is "two hundred thirteen million, one hundred twenty thousand, two hundred one".