1022213313000 has 768 divisors, whose sum is σ = 3909210439680. Its totient is φ = 238680000000.

The previous prime is 1022213312987. The next prime is 1022213313029. The reversal of 1022213313000 is 3133122201.

1022213313000 is a `hidden beast` number, since 10 + 2 + 2 + 21 + 331 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770318337 + ... + 770319663.

It is an arithmetic number, because the mean of its divisors is an integer number (5090117760).

Almost surely, 2^{1022213313000} is an apocalyptic number.

1022213313000 is a gapful number since it is divisible by the number (10) 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 1022213313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954605219840).

1022213313000 is an abundant number, since it is smaller than the sum of its proper divisors (2886997126680).

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

1022213313000 is a wasteful number, since it uses less digits than its factorization.

1022213313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

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

Adding to 1022213313000 its reverse (3133122201), we get a palindrome (1025346435201).

The spelling of 1022213313000 in words is "one trillion, twenty-two billion, two hundred thirteen million, three hundred thirteen thousand".