10300133312 has 112 divisors (see below), whose sum is σ = 24002829312. Its totient is φ = 4293596160.

The previous prime is 10300133293. The next prime is 10300133317. The reversal of 10300133312 is 21333100301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300133317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5219558 + ... + 5221530.

It is an arithmetic number, because the mean of its divisors is an integer number (214310976).

Almost surely, 2^10300133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001414656).

10300133312 is an abundant number, since it is smaller than the sum of its proper divisors (13702696000).

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

10300133312 is a wasteful number, since it uses less digits than its factorization.

10300133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10300133312 its reverse (21333100301), we get a palindrome (31633233613).

The spelling of 10300133312 in words is "ten billion, three hundred million, one hundred thirty-three thousand, three hundred twelve".