213106641 has 32 divisors (see below), whose sum is σ = 327713280. Its totient is φ = 121824000.

The previous prime is 213106627. The next prime is 213106681. The reversal of 213106641 is 146601312.

It is not a de Polignac number, because 213106641 - 2⁵ = 213106609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213106681) 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, 176841 + ... + 178041.

It is an arithmetic number, because the mean of its divisors is an integer number (10241040).

Almost surely, 2^213106641 is an apocalyptic number.

It is an amenable number.

213106641 is a deficient number, since it is larger than the sum of its proper divisors (114606639).

213106641 is a wasteful number, since it uses less digits than its factorization.

213106641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 213106641 is about 14598.1725226139. The cubic root of 213106641 is about 597.3089120097.

Adding to 213106641 its reverse (146601312), we get a palindrome (359707953).

The spelling of 213106641 in words is "two hundred thirteen million, one hundred six thousand, six hundred forty-one".