10213123320 has 576 divisors, whose sum is σ = 38402320320. Its totient is φ = 2340569088.

The previous prime is 10213123313. The next prime is 10213123339. The reversal of 10213123320 is 2332131201.

10213123320 is a `hidden beast` number, since 1 + 0 + 21 + 312 + 332 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10213123293 and 10213123302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192700414 + ... + 192700466.

It is an arithmetic number, because the mean of its divisors is an integer number (66670695).

Almost surely, 2^10213123320 is an apocalyptic number.

10213123320 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 10213123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201160160).

10213123320 is an abundant number, since it is smaller than the sum of its proper divisors (28189197000).

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

10213123320 is a wasteful number, since it uses less digits than its factorization.

10213123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 140 counting only the distinct ones).

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

Adding to 10213123320 its reverse (2332131201), we get a palindrome (12545254521).

The spelling of 10213123320 in words is "ten billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred twenty".