213002414201 has 32 divisors (see below), whose sum is σ = 229494988800. Its totient is φ = 197101615680.

The previous prime is 213002414179. The next prime is 213002414203. The reversal of 213002414201 is 102414200312.

It is a cyclic number.

It is not a de Polignac number, because 213002414201 - 2²² = 212998219897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213002414203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100900136 + ... + 100902246.

It is an arithmetic number, because the mean of its divisors is an integer number (7171718400).

Almost surely, 2^213002414201 is an apocalyptic number.

It is an amenable number.

213002414201 is a deficient number, since it is larger than the sum of its proper divisors (16492574599).

213002414201 is a wasteful number, since it uses less digits than its factorization.

213002414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213002414201 its reverse (102414200312), we get a palindrome (315416614513).

The spelling of 213002414201 in words is "two hundred thirteen billion, two million, four hundred fourteen thousand, two hundred one".