213042211000405 has 32 divisors (see below), whose sum is σ = 265216963415040. Its totient is φ = 164285586787392.

The previous prime is 213042211000351. The next prime is 213042211000433. The reversal of 213042211000405 is 504000112240312.

It is not a de Polignac number, because 213042211000405 - 2¹⁵ = 213042210967637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213042211000405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72581542 + ... + 75459688.

It is an arithmetic number, because the mean of its divisors is an integer number (8288030106720).

Almost surely, 2^{213042211000405} is an apocalyptic number.

It is an amenable number.

213042211000405 is a deficient number, since it is larger than the sum of its proper divisors (52174752414635).

213042211000405 is an frugal number, since it uses more digits than its factorization.

213042211000405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878846 (or 2878788 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 213042211000405 its reverse (504000112240312), we get a palindrome (717042323240717).

The spelling of 213042211000405 in words is "two hundred thirteen trillion, forty-two billion, two hundred eleven million, four hundred five", and thus it is an aban number.