111002131311000 has 256 divisors, whose sum is σ = 355709525708160. Its totient is φ = 28798715289600.

The previous prime is 111002131310989. The next prime is 111002131311017. The reversal of 111002131311000 is 113131200111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3071684932 + ... + 3071721068.

Almost surely, 2^{111002131311000} is an apocalyptic number.

111002131311000 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 111002131311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177854762854080).

111002131311000 is an abundant number, since it is smaller than the sum of its proper divisors (244707394397160).

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

111002131311000 is a wasteful number, since it uses less digits than its factorization.

111002131311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63871 (or 63857 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 111002131311000 its reverse (113131200111), we get a palindrome (111115262511111).

The spelling of 111002131311000 in words is "one hundred eleven trillion, two billion, one hundred thirty-one million, three hundred eleven thousand".