10001311211300 has 72 divisors (see below), whose sum is σ = 22419905367552. Its totient is φ = 3868543008000.

The previous prime is 10001311211299. The next prime is 10001311211323. The reversal of 10001311211300 is 311211310001.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 2873969 + ... + 5316231.

Almost surely, 2^{10001311211300} is an apocalyptic number.

10001311211300 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 10001311211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209952683776).

10001311211300 is an abundant number, since it is smaller than the sum of its proper divisors (12418594156252).

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

10001311211300 is a wasteful number, since it uses less digits than its factorization.

10001311211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443629 (or 2443622 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10001311211300 its reverse (311211310001), we get a palindrome (10312522521301).

The spelling of 10001311211300 in words is "ten trillion, one billion, three hundred eleven million, two hundred eleven thousand, three hundred".