10300213120 has 128 divisors (see below), whose sum is σ = 26524080000. Its totient is φ = 3812272128.

The previous prime is 10300213087. The next prime is 10300213129. The reversal of 10300213120 is 2131200301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10300213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300213129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513031 + ... + 532729.

It is an arithmetic number, because the mean of its divisors is an integer number (207219375).

Almost surely, 2^10300213120 is an apocalyptic number.

10300213120 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 10300213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262040000).

10300213120 is an abundant number, since it is smaller than the sum of its proper divisors (16223866880).

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

10300213120 is a wasteful number, since it uses less digits than its factorization.

10300213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19780 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10300213120 its reverse (2131200301), we get a palindrome (12431413421).

The spelling of 10300213120 in words is "ten billion, three hundred million, two hundred thirteen thousand, one hundred twenty".