213105431 has 8 divisors (see below), whose sum is σ = 265689984. Its totient is φ = 166056120.

The previous prime is 213105401. The next prime is 213105433. The reversal of 213105431 is 134501312.

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 213105431 - 2⁶ = 213105367 is a prime.

It is a super-3 number, since 3×213105431³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213105433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1383725 + ... + 1383878.

It is an arithmetic number, because the mean of its divisors is an integer number (33211248).

Almost surely, 2^213105431 is an apocalyptic number.

213105431 is a deficient number, since it is larger than the sum of its proper divisors (52584553).

213105431 is a wasteful number, since it uses less digits than its factorization.

213105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767621.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 213105431 is about 14598.1310790114. The cubic root of 213105431 is about 597.3077815191.

Adding to 213105431 its reverse (134501312), we get a palindrome (347606743).

The spelling of 213105431 in words is "two hundred thirteen million, one hundred five thousand, four hundred thirty-one".