213405332322000 has 640 divisors, whose sum is σ = 847039695989760. Its totient is φ = 45013028659200.

The previous prime is 213405332321989. The next prime is 213405332322011. The reversal of 213405332322000 is 223233504312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213405332321989) and next prime (213405332322011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1928962686 + ... + 1929073314.

It is an arithmetic number, because the mean of its divisors is an integer number (1323499524984).

Almost surely, 2^{213405332322000} is an apocalyptic number.

213405332322000 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 213405332322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423519847994880).

213405332322000 is an abundant number, since it is smaller than the sum of its proper divisors (633634363667760).

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

213405332322000 is a wasteful number, since it uses less digits than its factorization.

213405332322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114208 (or 114192 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 213405332322000 its reverse (223233504312), we get a palindrome (213628565826312).

The spelling of 213405332322000 in words is "two hundred thirteen trillion, four hundred five billion, three hundred thirty-two million, three hundred twenty-two thousand".