213030314000 has 160 divisors (see below), whose sum is σ = 589094128896. Its totient is φ = 72989337600.

The previous prime is 213030313981. The next prime is 213030314023. The reversal of 213030314000 is 413030312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213030314000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24873719 + ... + 24882281.

Almost surely, 2^213030314000 is an apocalyptic number.

213030314000 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 213030314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294547064448).

213030314000 is an abundant number, since it is smaller than the sum of its proper divisors (376063814896).

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

213030314000 is a wasteful number, since it uses less digits than its factorization.

213030314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213030314000 its reverse (413030312), we get a palindrome (213443344312).

The spelling of 213030314000 in words is "two hundred thirteen billion, thirty million, three hundred fourteen thousand".