213021312000 has 1408 divisors, whose sum is σ = 881254133760. Its totient is φ = 44590694400.

The previous prime is 213021311983. The next prime is 213021312011. The reversal of 213021312000 is 213120312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2196095952 + ... + 2196096048.

It is an arithmetic number, because the mean of its divisors is an integer number (625890720).

Almost surely, 2^213021312000 is an apocalyptic number.

213021312000 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 213021312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440627066880).

213021312000 is an abundant number, since it is smaller than the sum of its proper divisors (668232821760).

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

213021312000 is a wasteful number, since it uses less digits than its factorization.

213021312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213021312000 its reverse (213120312), we get a palindrome (213234432312).

The spelling of 213021312000 in words is "two hundred thirteen billion, twenty-one million, three hundred twelve thousand".