213241314034000 has 320 divisors, whose sum is σ = 590303385165312. Its totient is φ = 72984096768000.

The previous prime is 213241314033991. The next prime is 213241314034027. The reversal of 213241314034000 is 430413142312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 213241314034000.

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 63 ways as a sum of consecutive naturals, for example, 22976109360 + ... + 22976118640.

Almost surely, 2^{213241314034000} is an apocalyptic number.

213241314034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213241314034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295151692582656).

213241314034000 is an abundant number, since it is smaller than the sum of its proper divisors (377062071131312).

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

213241314034000 is a wasteful number, since it uses less digits than its factorization.

213241314034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11975 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213241314034000 its reverse (430413142312), we get a palindrome (213671727176312).

The spelling of 213241314034000 in words is "two hundred thirteen trillion, two hundred forty-one billion, three hundred fourteen million, thirty-four thousand".