213014310234000 has 640 divisors, whose sum is σ = 792360311408640. Its totient is φ = 48690028800000.

The previous prime is 213014310233993. The next prime is 213014310234083. The reversal of 213014310234000 is 432013410312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264191470 + ... + 264996530.

It is an arithmetic number, because the mean of its divisors is an integer number (1238062986576).

Almost surely, 2^{213014310234000} is an apocalyptic number.

213014310234000 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 213014310234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396180155704320).

213014310234000 is an abundant number, since it is smaller than the sum of its proper divisors (579346001174640).

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

213014310234000 is a wasteful number, since it uses less digits than its factorization.

213014310234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805328 (or 805312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213014310234000 its reverse (432013410312), we get a palindrome (213446323644312).

The spelling of 213014310234000 in words is "two hundred thirteen trillion, fourteen billion, three hundred ten million, two hundred thirty-four thousand".