101332112310320 has 20 divisors (see below), whose sum is σ = 235597161121680. Its totient is φ = 40532844924096.

The previous prime is 101332112310301. The next prime is 101332112310323. The reversal of 101332112310320 is 23013211233101.

101332112310320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (101332112310323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633325701860 + ... + 633325702019.

It is an arithmetic number, because the mean of its divisors is an integer number (11779858056084).

Almost surely, 2^{101332112310320} is an apocalyptic number.

101332112310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101332112310320 is an abundant number, since it is smaller than the sum of its proper divisors (134265048811360).

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

101332112310320 is a wasteful number, since it uses less digits than its factorization.

101332112310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266651403892 (or 1266651403886 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101332112310320 its reverse (23013211233101), we get a palindrome (124345323543421).

The spelling of 101332112310320 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred twelve million, three hundred ten thousand, three hundred twenty".