10011213133300 has 144 divisors (see below), whose sum is σ = 22034257217280. Its totient is φ = 3947845824000.

The previous prime is 10011213133261. The next prime is 10011213133301. The reversal of 10011213133300 is 333131211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011213133301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293267430 + ... + 1293275170.

It is an arithmetic number, because the mean of its divisors is an integer number (153015675120).

Almost surely, 2^{10011213133300} is an apocalyptic number.

10011213133300 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 10011213133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017128608640).

10011213133300 is an abundant number, since it is smaller than the sum of its proper divisors (12023044083980).

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

10011213133300 is a wasteful number, since it uses less digits than its factorization.

10011213133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10011213133300 its reverse (333131211001), we get a palindrome (10344344344301).

The spelling of 10011213133300 in words is "ten trillion, eleven billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred".