100113221231328 has 96 divisors (see below), whose sum is σ = 277705014935040. Its totient is φ = 31491686891520.

The previous prime is 100113221231327. The next prime is 100113221231329. The reversal of 100113221231328 is 823132122311001.

It is an interprime number because it is at equal distance from previous prime (100113221231327) and next prime (100113221231329).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100113221231295 and 100113221231304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113221231327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106314568 + ... + 107252103.

It is an arithmetic number, because the mean of its divisors is an integer number (2892760572240).

Almost surely, 2^{100113221231328} is an apocalyptic number.

It is an amenable number.

100113221231328 is an abundant number, since it is smaller than the sum of its proper divisors (177591793703712).

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

100113221231328 is a wasteful number, since it uses less digits than its factorization.

100113221231328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213566960 (or 213566952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 100113221231328 its reverse (823132122311001), we get a palindrome (923245343542329).

The spelling of 100113221231328 in words is "one hundred trillion, one hundred thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand, three hundred twenty-eight".