10111331320320 has 160 divisors (see below), whose sum is σ = 32341911592320. Its totient is φ = 2694916177920.

The previous prime is 10111331320289. The next prime is 10111331320393. The reversal of 10111331320320 is 2302313311101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14080380 + ... + 14781060.

It is an arithmetic number, because the mean of its divisors is an integer number (202136947452).

Almost surely, 2^{10111331320320} is an apocalyptic number.

10111331320320 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 10111331320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170955796160).

10111331320320 is an abundant number, since it is smaller than the sum of its proper divisors (22230580272000).

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

10111331320320 is an equidigital number, since it uses as much as digits as its factorization.

10111331320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702586 (or 702570 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10111331320320 its reverse (2302313311101), we get a palindrome (12413644631421).

The spelling of 10111331320320 in words is "ten trillion, one hundred eleven billion, three hundred thirty-one million, three hundred twenty thousand, three hundred twenty".