101113002300000 has 576 divisors, whose sum is σ = 338355438865920. Its totient is φ = 26429736960000.

The previous prime is 101113002299899. The next prime is 101113002300029. The reversal of 101113002300000 is 3200311101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 6248091909 + ... + 6248108091.

It is an arithmetic number, because the mean of its divisors is an integer number (587422636920).

Almost surely, 2^{101113002300000} is an apocalyptic number.

101113002300000 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 101113002300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169177719432960).

101113002300000 is an abundant number, since it is smaller than the sum of its proper divisors (237242436565920).

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

101113002300000 is an equidigital number, since it uses as much as digits as its factorization.

101113002300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16633 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101113002300000 its reverse (3200311101), we get a palindrome (101116202611101).

The spelling of 101113002300000 in words is "one hundred one trillion, one hundred thirteen billion, two million, three hundred thousand".