213022000102320 has 240 divisors, whose sum is σ = 719056666927872. Its totient is φ = 56515741286400.

The previous prime is 213022000102319. The next prime is 213022000102363. The reversal of 213022000102320 is 23201000220312.

213022000102320 is a `hidden beast` number, since 2 + 130 + 2 + 200 + 0 + 10 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213022000102293 and 213022000102302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256642212 + ... + 257470908.

Almost surely, 2^{213022000102320} is an apocalyptic number.

213022000102320 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 213022000102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359528333463936).

213022000102320 is an abundant number, since it is smaller than the sum of its proper divisors (506034666825552).

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

213022000102320 is a wasteful number, since it uses less digits than its factorization.

213022000102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830540 (or 830531 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213022000102320 its reverse (23201000220312), we get a palindrome (236223000322632).

The spelling of 213022000102320 in words is "two hundred thirteen trillion, twenty-two billion, one hundred two thousand, three hundred twenty".