101618113799328 has 384 divisors, whose sum is σ = 333012392294400. Its totient is φ = 26473376821248.

The previous prime is 101618113799249. The next prime is 101618113799329. The reversal of 101618113799328 is 823997311816101.

101618113799328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101618113799329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116943351 + ... + 117809097.

It is an arithmetic number, because the mean of its divisors is an integer number (867219771600).

Almost surely, 2^{101618113799328} 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 101618113799328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166506196147200).

101618113799328 is an abundant number, since it is smaller than the sum of its proper divisors (231394278495072).

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

101618113799328 is a wasteful number, since it uses less digits than its factorization.

101618113799328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866132 (or 866124 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 60.

The spelling of 101618113799328 in words is "one hundred one trillion, six hundred eighteen billion, one hundred thirteen million, seven hundred ninety-nine thousand, three hundred twenty-eight".