10021213000320 has 256 divisors, whose sum is σ = 32309958844800. Its totient is φ = 2641607327744.

The previous prime is 10021213000303. The next prime is 10021213000321. The reversal of 10021213000320 is 2300031212001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021213000320.

It is not an unprimeable number, because it can be changed into a prime (10021213000321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306032004 + ... + 1306039676.

Almost surely, 2^{10021213000320} is an apocalyptic number.

10021213000320 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 10021213000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154979422400).

10021213000320 is an abundant number, since it is smaller than the sum of its proper divisors (22288745844480).

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

10021213000320 is an equidigital number, since it uses as much as digits as its factorization.

10021213000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15427 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10021213000320 its reverse (2300031212001), we get a palindrome (12321244212321).

The spelling of 10021213000320 in words is "ten trillion, twenty-one billion, two hundred thirteen million, three hundred twenty", and thus it is an aban number.