213212413000 has 64 divisors (see below), whose sum is σ = 498992523120. Its totient is φ = 85272064000.

The previous prime is 213212412991. The next prime is 213212413003. The reversal of 213212413000 is 314212312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38874431556 + 174337981444 = 197166^2 + 417538^2 .

It is not an unprimeable number, because it can be changed into a prime (213212413003) 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 15 ways as a sum of consecutive naturals, for example, 9269514 + ... + 9292486.

Almost surely, 2^213212413000 is an apocalyptic number.

213212413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213212413000 is an abundant number, since it is smaller than the sum of its proper divisors (285780110120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213212413000 is a wasteful number, since it uses less digits than its factorization.

213212413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32275 (or 32261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213212413000 its reverse (314212312), we get a palindrome (213526625312).

It can be divided in two parts, 21321 and 2413000, that added together give a triangular number (2434321 = T₂₂₀₆).

The spelling of 213212413000 in words is "two hundred thirteen billion, two hundred twelve million, four hundred thirteen thousand".