10213013223000 has 768 divisors, whose sum is σ = 41225783639040. Its totient is φ = 2316532608000.

The previous prime is 10213013222989. The next prime is 10213013223037. The reversal of 10213013223000 is 32231031201.

10213013223000 is a `hidden beast` number, since 10 + 2 + 1 + 30 + 1 + 322 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222808084 + ... + 222853916.

It is an arithmetic number, because the mean of its divisors is an integer number (53679405780).

Almost surely, 2^{10213013223000} is an apocalyptic number.

10213013223000 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 10213013223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612891819520).

10213013223000 is an abundant number, since it is smaller than the sum of its proper divisors (31012770416040).

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

10213013223000 is a wasteful number, since it uses less digits than its factorization.

10213013223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46007 (or 45981 counting only the distinct ones).

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

Adding to 10213013223000 its reverse (32231031201), we get a palindrome (10245244254201).

The spelling of 10213013223000 in words is "ten trillion, two hundred thirteen billion, thirteen million, two hundred twenty-three thousand".