213122313000 has 256 divisors, whose sum is σ = 741657945600. Its totient is φ = 56614636800.

The previous prime is 213122312993. The next prime is 213122313043. The reversal of 213122313000 is 313221312.

213122313000 is a `hidden beast` number, since 2 + 131 + 2 + 231 + 300 + 0 = 666.

It is a super-2 number, since 2×213122313000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7085994 + ... + 7116006.

It is an arithmetic number, because the mean of its divisors is an integer number (2897101350).

Almost surely, 2^213122313000 is an apocalyptic number.

213122313000 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 213122313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370828972800).

213122313000 is an abundant number, since it is smaller than the sum of its proper divisors (528535632600).

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

213122313000 is a wasteful number, since it uses less digits than its factorization.

213122313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30306 (or 30286 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213122313000 its reverse (313221312), we get a palindrome (213435534312).

The spelling of 213122313000 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred thirteen thousand".