101113442304304 has 160 divisors (see below), whose sum is σ = 209097289952640. Its totient is φ = 47202435072000.

The previous prime is 101113442304239. The next prime is 101113442304307. The reversal of 101113442304304 is 403403244311101.

It is not an unprimeable number, because it can be changed into a prime (101113442304307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28799041909 + ... + 28799045419.

It is an arithmetic number, because the mean of its divisors is an integer number (1306858062204).

Almost surely, 2^{101113442304304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101113442304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104548644976320).

101113442304304 is an abundant number, since it is smaller than the sum of its proper divisors (107983847648336).

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

101113442304304 is a wasteful number, since it uses less digits than its factorization.

101113442304304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 101113442304304 its reverse (403403244311101), we get a palindrome (504516686615405).

The spelling of 101113442304304 in words is "one hundred one trillion, one hundred thirteen billion, four hundred forty-two million, three hundred four thousand, three hundred four".