213223031301000 has 1024 divisors, whose sum is σ = 821611562803200. Its totient is φ = 44931870720000.

The previous prime is 213223031300971. The next prime is 213223031301013. The reversal of 213223031301000 is 103130322312.

It is a super-2 number, since 2×213223031301000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 255 ways as a sum of consecutive naturals, for example, 4281476100 + ... + 4281525900.

It is an arithmetic number, because the mean of its divisors is an integer number (802355041800).

Almost surely, 2^{213223031301000} is an apocalyptic number.

213223031301000 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 213223031301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410805781401600).

213223031301000 is an abundant number, since it is smaller than the sum of its proper divisors (608388531502200).

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

213223031301000 is a wasteful number, since it uses less digits than its factorization.

213223031301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50095 (or 50081 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213223031301000 its reverse (103130322312), we get a palindrome (213326161623312).

The spelling of 213223031301000 in words is "two hundred thirteen trillion, two hundred twenty-three billion, thirty-one million, three hundred one thousand".